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Finding the Fourth Proportional to 1,350.97, 2,025.96 and 657.43

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Solution

The fourth proportional to 1,350.97, 2,025.96 and 657.43 is: 985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.97 : 2,025.96 = 657.43 : x
  2. Step 2: Convert to fraction form
    1,350.97/2,025.96 = 657.43/x
  3. Step 3: Cross multiply
    1,350.97x = 2,025.96 × 657.43
  4. Step 4: Simplify right side
    1,350.97x = 1,331,926.88
  5. Step 5: Solve for x
    x = 1,331,926.88/1,350.97
  6. Step 6: Final answer
    x = 985.90

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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.