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Finding the Fourth Proportional to 1,007.88, 1,512.45 and 545.97

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Solution

The fourth proportional to 1,007.88, 1,512.45 and 545.97 is: 819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.88 : 1,512.45 = 545.97 : x
  2. Step 2: Convert to fraction form
    1,007.88/1,512.45 = 545.97/x
  3. Step 3: Cross multiply
    1,007.88x = 1,512.45 × 545.97
  4. Step 4: Simplify right side
    1,007.88x = 825,758.00
  5. Step 5: Solve for x
    x = 825,758.00/1,007.88
  6. Step 6: Final answer
    x = 819.30

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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.