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Finding the Fourth Proportional to 892.92, 1,233.20 and 613.89

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Solution

The fourth proportional to 892.92, 1,233.20 and 613.89 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.92 : 1,233.20 = 613.89 : x
  2. Step 2: Convert to fraction form
    892.92/1,233.20 = 613.89/x
  3. Step 3: Cross multiply
    892.92x = 1,233.20 × 613.89
  4. Step 4: Simplify right side
    892.92x = 757,046.08
  5. Step 5: Solve for x
    x = 757,046.08/892.92
  6. Step 6: Final answer
    x = 847.83

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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.