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Finding the Fourth Proportional to 892.72, 1,337.71 and 527.11

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Solution

The fourth proportional to 892.72, 1,337.71 and 527.11 is: 789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.72 : 1,337.71 = 527.11 : x
  2. Step 2: Convert to fraction form
    892.72/1,337.71 = 527.11/x
  3. Step 3: Cross multiply
    892.72x = 1,337.71 × 527.11
  4. Step 4: Simplify right side
    892.72x = 705,120.32
  5. Step 5: Solve for x
    x = 705,120.32/892.72
  6. Step 6: Final answer
    x = 789.86

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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.