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Finding the Fourth Proportional to 1,231.32, 1,847.05 and 614.85

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Solution

The fourth proportional to 1,231.32, 1,847.05 and 614.85 is: 922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.32 : 1,847.05 = 614.85 : x
  2. Step 2: Convert to fraction form
    1,231.32/1,847.05 = 614.85/x
  3. Step 3: Cross multiply
    1,231.32x = 1,847.05 × 614.85
  4. Step 4: Simplify right side
    1,231.32x = 1,135,658.69
  5. Step 5: Solve for x
    x = 1,135,658.69/1,231.32
  6. Step 6: Final answer
    x = 922.31

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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.