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Finding the Fourth Proportional to 1,231.60, 1,847.19 and 614.65

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Solution

The fourth proportional to 1,231.60, 1,847.19 and 614.65 is: 921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.60 : 1,847.19 = 614.65 : x
  2. Step 2: Convert to fraction form
    1,231.60/1,847.19 = 614.65/x
  3. Step 3: Cross multiply
    1,231.60x = 1,847.19 × 614.65
  4. Step 4: Simplify right side
    1,231.60x = 1,135,375.33
  5. Step 5: Solve for x
    x = 1,135,375.33/1,231.60
  6. Step 6: Final answer
    x = 921.87

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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.