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Finding the Fourth Proportional to 666.88, 1,001.76 and 545.44

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Solution

The fourth proportional to 666.88, 1,001.76 and 545.44 is: 819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.88 : 1,001.76 = 545.44 : x
  2. Step 2: Convert to fraction form
    666.88/1,001.76 = 545.44/x
  3. Step 3: Cross multiply
    666.88x = 1,001.76 × 545.44
  4. Step 4: Simplify right side
    666.88x = 546,399.97
  5. Step 5: Solve for x
    x = 546,399.97/666.88
  6. Step 6: Final answer
    x = 819.34

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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.