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Finding the Fourth Proportional to 1,382.22, 2,073.46 and 457.78

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Solution

The fourth proportional to 1,382.22, 2,073.46 and 457.78 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.22 : 2,073.46 = 457.78 : x
  2. Step 2: Convert to fraction form
    1,382.22/2,073.46 = 457.78/x
  3. Step 3: Cross multiply
    1,382.22x = 2,073.46 × 457.78
  4. Step 4: Simplify right side
    1,382.22x = 949,188.52
  5. Step 5: Solve for x
    x = 949,188.52/1,382.22
  6. Step 6: Final answer
    x = 686.71

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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.