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Finding the Fourth Proportional to 819.89, 1,129.92 and 583.84

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Solution

The fourth proportional to 819.89, 1,129.92 and 583.84 is: 804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.89 : 1,129.92 = 583.84 : x
  2. Step 2: Convert to fraction form
    819.89/1,129.92 = 583.84/x
  3. Step 3: Cross multiply
    819.89x = 1,129.92 × 583.84
  4. Step 4: Simplify right side
    819.89x = 659,691.72
  5. Step 5: Solve for x
    x = 659,691.72/819.89
  6. Step 6: Final answer
    x = 804.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.