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Finding the Fourth Proportional to 932.41, 1,397.76 and 463.78

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Solution

The fourth proportional to 932.41, 1,397.76 and 463.78 is: 695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.41 : 1,397.76 = 463.78 : x
  2. Step 2: Convert to fraction form
    932.41/1,397.76 = 463.78/x
  3. Step 3: Cross multiply
    932.41x = 1,397.76 × 463.78
  4. Step 4: Simplify right side
    932.41x = 648,253.13
  5. Step 5: Solve for x
    x = 648,253.13/932.41
  6. Step 6: Final answer
    x = 695.24

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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.