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Finding the Fourth Proportional to 1,350.85, 2,025.61 and 473.32

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Solution

The fourth proportional to 1,350.85, 2,025.61 and 473.32 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.85 : 2,025.61 = 473.32 : x
  2. Step 2: Convert to fraction form
    1,350.85/2,025.61 = 473.32/x
  3. Step 3: Cross multiply
    1,350.85x = 2,025.61 × 473.32
  4. Step 4: Simplify right side
    1,350.85x = 958,761.73
  5. Step 5: Solve for x
    x = 958,761.73/1,350.85
  6. Step 6: Final answer
    x = 709.75

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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.