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Finding the Fourth Proportional to 932.35, 1,397.71 and 469.74

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Solution

The fourth proportional to 932.35, 1,397.71 and 469.74 is: 704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.35 : 1,397.71 = 469.74 : x
  2. Step 2: Convert to fraction form
    932.35/1,397.71 = 469.74/x
  3. Step 3: Cross multiply
    932.35x = 1,397.71 × 469.74
  4. Step 4: Simplify right side
    932.35x = 656,560.30
  5. Step 5: Solve for x
    x = 656,560.30/932.35
  6. Step 6: Final answer
    x = 704.20

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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.