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Finding the Fourth Proportional to 892.68, 1,337.04 and 685.73

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Solution

The fourth proportional to 892.68, 1,337.04 and 685.73 is: 1,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,337.04 = 685.73 : x
  2. Step 2: Convert to fraction form
    892.68/1,337.04 = 685.73/x
  3. Step 3: Cross multiply
    892.68x = 1,337.04 × 685.73
  4. Step 4: Simplify right side
    892.68x = 916,841.75
  5. Step 5: Solve for x
    x = 916,841.75/892.68
  6. Step 6: Final answer
    x = 1,027.07

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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.