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Finding the Fourth Proportional to 932.31, 1,397.66 and 546.75

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Solution

The fourth proportional to 932.31, 1,397.66 and 546.75 is: 819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.31 : 1,397.66 = 546.75 : x
  2. Step 2: Convert to fraction form
    932.31/1,397.66 = 546.75/x
  3. Step 3: Cross multiply
    932.31x = 1,397.66 × 546.75
  4. Step 4: Simplify right side
    932.31x = 764,167.87
  5. Step 5: Solve for x
    x = 764,167.87/932.31
  6. Step 6: Final answer
    x = 819.65

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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.