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Finding the Fourth Proportional to 819.35, 1,229.06 and 271.58

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Solution

The fourth proportional to 819.35, 1,229.06 and 271.58 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.35 : 1,229.06 = 271.58 : x
  2. Step 2: Convert to fraction form
    819.35/1,229.06 = 271.58/x
  3. Step 3: Cross multiply
    819.35x = 1,229.06 × 271.58
  4. Step 4: Simplify right side
    819.35x = 333,788.11
  5. Step 5: Solve for x
    x = 333,788.11/819.35
  6. Step 6: Final answer
    x = 407.38

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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.