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Finding the Fourth Proportional to 819.74, 1,229.62 and 477.50

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Solution

The fourth proportional to 819.74, 1,229.62 and 477.50 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.74 : 1,229.62 = 477.50 : x
  2. Step 2: Convert to fraction form
    819.74/1,229.62 = 477.50/x
  3. Step 3: Cross multiply
    819.74x = 1,229.62 × 477.50
  4. Step 4: Simplify right side
    819.74x = 587,143.55
  5. Step 5: Solve for x
    x = 587,143.55/819.74
  6. Step 6: Final answer
    x = 716.26

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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.