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Finding the Fourth Proportional to 1,008.02, 1,512.24 and 545.78

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Solution

The fourth proportional to 1,008.02, 1,512.24 and 545.78 is: 818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.02 : 1,512.24 = 545.78 : x
  2. Step 2: Convert to fraction form
    1,008.02/1,512.24 = 545.78/x
  3. Step 3: Cross multiply
    1,008.02x = 1,512.24 × 545.78
  4. Step 4: Simplify right side
    1,008.02x = 825,350.35
  5. Step 5: Solve for x
    x = 825,350.35/1,008.02
  6. Step 6: Final answer
    x = 818.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.