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Finding the Fourth Proportional to 915.80, 1,264.03 and 523.05

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Solution

The fourth proportional to 915.80, 1,264.03 and 523.05 is: 721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.80 : 1,264.03 = 523.05 : x
  2. Step 2: Convert to fraction form
    915.80/1,264.03 = 523.05/x
  3. Step 3: Cross multiply
    915.80x = 1,264.03 × 523.05
  4. Step 4: Simplify right side
    915.80x = 661,149.58
  5. Step 5: Solve for x
    x = 661,149.58/915.80
  6. Step 6: Final answer
    x = 721.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.