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Finding the Fourth Proportional to 1,350.65, 2,025.26 and 425.96

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Solution

The fourth proportional to 1,350.65, 2,025.26 and 425.96 is: 638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.65 : 2,025.26 = 425.96 : x
  2. Step 2: Convert to fraction form
    1,350.65/2,025.26 = 425.96/x
  3. Step 3: Cross multiply
    1,350.65x = 2,025.26 × 425.96
  4. Step 4: Simplify right side
    1,350.65x = 862,676.69
  5. Step 5: Solve for x
    x = 862,676.69/1,350.65
  6. Step 6: Final answer
    x = 638.71

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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.