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Finding the Fourth Proportional to 1,049.81, 1,573.84 and 819.71

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Solution

The fourth proportional to 1,049.81, 1,573.84 and 819.71 is: 1,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.81 : 1,573.84 = 819.71 : x
  2. Step 2: Convert to fraction form
    1,049.81/1,573.84 = 819.71/x
  3. Step 3: Cross multiply
    1,049.81x = 1,573.84 × 819.71
  4. Step 4: Simplify right side
    1,049.81x = 1,290,092.39
  5. Step 5: Solve for x
    x = 1,290,092.39/1,049.81
  6. Step 6: Final answer
    x = 1,228.88

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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.