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Finding the Fourth Proportional to 892.62, 1,230.93 and 560.88

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Solution

The fourth proportional to 892.62, 1,230.93 and 560.88 is: 773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.62 : 1,230.93 = 560.88 : x
  2. Step 2: Convert to fraction form
    892.62/1,230.93 = 560.88/x
  3. Step 3: Cross multiply
    892.62x = 1,230.93 × 560.88
  4. Step 4: Simplify right side
    892.62x = 690,404.02
  5. Step 5: Solve for x
    x = 690,404.02/892.62
  6. Step 6: Final answer
    x = 773.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.