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Finding the Fourth Proportional to 938.97, 1,295.64 and 566.10

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Solution

The fourth proportional to 938.97, 1,295.64 and 566.10 is: 781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.97 : 1,295.64 = 566.10 : x
  2. Step 2: Convert to fraction form
    938.97/1,295.64 = 566.10/x
  3. Step 3: Cross multiply
    938.97x = 1,295.64 × 566.10
  4. Step 4: Simplify right side
    938.97x = 733,461.80
  5. Step 5: Solve for x
    x = 733,461.80/938.97
  6. Step 6: Final answer
    x = 781.13

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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.