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Finding the Fourth Proportional to 819.73, 1,229.62 and 271.96

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Solution

The fourth proportional to 819.73, 1,229.62 and 271.96 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.73 : 1,229.62 = 271.96 : x
  2. Step 2: Convert to fraction form
    819.73/1,229.62 = 271.96/x
  3. Step 3: Cross multiply
    819.73x = 1,229.62 × 271.96
  4. Step 4: Simplify right side
    819.73x = 334,400.63
  5. Step 5: Solve for x
    x = 334,400.63/819.73
  6. Step 6: Final answer
    x = 407.94

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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.