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Finding the Fourth Proportional to 862.44, 1,294.10 and 658.32

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Solution

The fourth proportional to 862.44, 1,294.10 and 658.32 is: 987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,294.10 = 658.32 : x
  2. Step 2: Convert to fraction form
    862.44/1,294.10 = 658.32/x
  3. Step 3: Cross multiply
    862.44x = 1,294.10 × 658.32
  4. Step 4: Simplify right side
    862.44x = 851,931.91
  5. Step 5: Solve for x
    x = 851,931.91/862.44
  6. Step 6: Final answer
    x = 987.82

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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.