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Finding the Fourth Proportional to 1,081.28, 1,622.46 and 432.47

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Solution

The fourth proportional to 1,081.28, 1,622.46 and 432.47 is: 648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.28 : 1,622.46 = 432.47 : x
  2. Step 2: Convert to fraction form
    1,081.28/1,622.46 = 432.47/x
  3. Step 3: Cross multiply
    1,081.28x = 1,622.46 × 432.47
  4. Step 4: Simplify right side
    1,081.28x = 701,665.28
  5. Step 5: Solve for x
    x = 701,665.28/1,081.28
  6. Step 6: Final answer
    x = 648.92

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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.