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Finding the Fourth Proportional to 932.43, 1,397.03 and 469.11

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Solution

The fourth proportional to 932.43, 1,397.03 and 469.11 is: 702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.43 : 1,397.03 = 469.11 : x
  2. Step 2: Convert to fraction form
    932.43/1,397.03 = 469.11/x
  3. Step 3: Cross multiply
    932.43x = 1,397.03 × 469.11
  4. Step 4: Simplify right side
    932.43x = 655,358.40
  5. Step 5: Solve for x
    x = 655,358.40/932.43
  6. Step 6: Final answer
    x = 702.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.