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Finding the Fourth Proportional to 1,074.74, 1,614.26 and 939.20

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Solution

The fourth proportional to 1,074.74, 1,614.26 and 939.20 is: 1,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.74 : 1,614.26 = 939.20 : x
  2. Step 2: Convert to fraction form
    1,074.74/1,614.26 = 939.20/x
  3. Step 3: Cross multiply
    1,074.74x = 1,614.26 × 939.20
  4. Step 4: Simplify right side
    1,074.74x = 1,516,107.27
  5. Step 5: Solve for x
    x = 1,516,107.27/1,074.74
  6. Step 6: Final answer
    x = 1,410.68

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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.