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Finding the Fourth Proportional to 892.67, 1,337.17 and 697.46

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Solution

The fourth proportional to 892.67, 1,337.17 and 697.46 is: 1,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.67 : 1,337.17 = 697.46 : x
  2. Step 2: Convert to fraction form
    892.67/1,337.17 = 697.46/x
  3. Step 3: Cross multiply
    892.67x = 1,337.17 × 697.46
  4. Step 4: Simplify right side
    892.67x = 932,622.59
  5. Step 5: Solve for x
    x = 932,622.59/892.67
  6. Step 6: Final answer
    x = 1,044.76

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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.