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Finding the Fourth Proportional to 1,494.57, 2,240.78 and 763.59

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Solution

The fourth proportional to 1,494.57, 2,240.78 and 763.59 is: 1,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.57 : 2,240.78 = 763.59 : x
  2. Step 2: Convert to fraction form
    1,494.57/2,240.78 = 763.59/x
  3. Step 3: Cross multiply
    1,494.57x = 2,240.78 × 763.59
  4. Step 4: Simplify right side
    1,494.57x = 1,711,033.38
  5. Step 5: Solve for x
    x = 1,711,033.38/1,494.57
  6. Step 6: Final answer
    x = 1,144.83

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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.