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Finding the Fourth Proportional to 819.82, 1,227.56 and 472.64

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Solution

The fourth proportional to 819.82, 1,227.56 and 472.64 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.82 : 1,227.56 = 472.64 : x
  2. Step 2: Convert to fraction form
    819.82/1,227.56 = 472.64/x
  3. Step 3: Cross multiply
    819.82x = 1,227.56 × 472.64
  4. Step 4: Simplify right side
    819.82x = 580,185.46
  5. Step 5: Solve for x
    x = 580,185.46/819.82
  6. Step 6: Final answer
    x = 707.70

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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.