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Finding the Fourth Proportional to 892.73, 1,337.43 and 747.42

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Solution

The fourth proportional to 892.73, 1,337.43 and 747.42 is: 1,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.73 : 1,337.43 = 747.42 : x
  2. Step 2: Convert to fraction form
    892.73/1,337.43 = 747.42/x
  3. Step 3: Cross multiply
    892.73x = 1,337.43 × 747.42
  4. Step 4: Simplify right side
    892.73x = 999,621.93
  5. Step 5: Solve for x
    x = 999,621.93/892.73
  6. Step 6: Final answer
    x = 1,119.74

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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.