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Finding the Fourth Proportional to 1,350.31, 2,025.55 and 425.90

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Solution

The fourth proportional to 1,350.31, 2,025.55 and 425.90 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.31 : 2,025.55 = 425.90 : x
  2. Step 2: Convert to fraction form
    1,350.31/2,025.55 = 425.90/x
  3. Step 3: Cross multiply
    1,350.31x = 2,025.55 × 425.90
  4. Step 4: Simplify right side
    1,350.31x = 862,675.62
  5. Step 5: Solve for x
    x = 862,675.62/1,350.31
  6. Step 6: Final answer
    x = 638.87

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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.