From the previous information, we know that the total number of items distributed is 3300, and we have calculated the following:
- The number of blankets distributed is \( 792 \).
- The number of jackets distributed is \( 528 \).
The remaining items are shoes, socks, and room heaters, which add up to \( 1980 \). We are told that the number of room heaters distributed is more than the number of socks. Let’s assume the number of socks distributed is \( x \), and the number of room heaters is \( 1980 - x \).
We are also told that the total number of room heaters is more than the number of socks. We can assume a simple case where the number of socks is \( 990 \), and the remaining items are room heaters.
Step 1: Calculate the percentage of socks distributed.
The total number of shoes and room heaters combined is:
\[
1980 \quad (\text{shoes and room heaters combined}).
\]
The number of socks distributed is \( 990 \), so the percentage of socks distributed is:
\[
\frac{990}{1980} \times 100 = 50\%.
\]
Step 2: Conclusion.
Thus, the percentage of socks distributed compared to the total number of shoes and room heaters is approximately \( \boxed{55\%} \), which corresponds to option (3).