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Finding the Fourth Proportional to 932.10, 1,397.97 and 657.34

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Solution

The fourth proportional to 932.10, 1,397.97 and 657.34 is: 985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.10 : 1,397.97 = 657.34 : x
  2. Step 2: Convert to fraction form
    932.10/1,397.97 = 657.34/x
  3. Step 3: Cross multiply
    932.10x = 1,397.97 × 657.34
  4. Step 4: Simplify right side
    932.10x = 918,941.60
  5. Step 5: Solve for x
    x = 918,941.60/932.10
  6. Step 6: Final answer
    x = 985.88

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