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Finding the Fourth Proportional to 819.09, 1,227 and 529.92

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Solution

The fourth proportional to 819.09, 1,227 and 529.92 is: 793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.09 : 1,227 = 529.92 : x
  2. Step 2: Convert to fraction form
    819.09/1,227 = 529.92/x
  3. Step 3: Cross multiply
    819.09x = 1,227 × 529.92
  4. Step 4: Simplify right side
    819.09x = 650,211.84
  5. Step 5: Solve for x
    x = 650,211.84/819.09
  6. Step 6: Final answer
    x = 793.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.