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Finding the Fourth Proportional to 1,034.26, 1,550.76 and 724.42

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Solution

The fourth proportional to 1,034.26, 1,550.76 and 724.42 is: 1,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.26 : 1,550.76 = 724.42 : x
  2. Step 2: Convert to fraction form
    1,034.26/1,550.76 = 724.42/x
  3. Step 3: Cross multiply
    1,034.26x = 1,550.76 × 724.42
  4. Step 4: Simplify right side
    1,034.26x = 1,123,401.56
  5. Step 5: Solve for x
    x = 1,123,401.56/1,034.26
  6. Step 6: Final answer
    x = 1,086.19

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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.