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Finding the Fourth Proportional to 891.27, 1,337.31 and 397.71

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Solution

The fourth proportional to 891.27, 1,337.31 and 397.71 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.27 : 1,337.31 = 397.71 : x
  2. Step 2: Convert to fraction form
    891.27/1,337.31 = 397.71/x
  3. Step 3: Cross multiply
    891.27x = 1,337.31 × 397.71
  4. Step 4: Simplify right side
    891.27x = 531,861.56
  5. Step 5: Solve for x
    x = 531,861.56/891.27
  6. Step 6: Final answer
    x = 596.75

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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.