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Finding the Fourth Proportional to 1,350.43, 2,024.02 and 484.27

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Solution

The fourth proportional to 1,350.43, 2,024.02 and 484.27 is: 725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.43 : 2,024.02 = 484.27 : x
  2. Step 2: Convert to fraction form
    1,350.43/2,024.02 = 484.27/x
  3. Step 3: Cross multiply
    1,350.43x = 2,024.02 × 484.27
  4. Step 4: Simplify right side
    1,350.43x = 980,172.17
  5. Step 5: Solve for x
    x = 980,172.17/1,350.43
  6. Step 6: Final answer
    x = 725.82

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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.