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Finding the Fourth Proportional to 1,229.87, 1,843.19 and 499.05

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Solution

The fourth proportional to 1,229.87, 1,843.19 and 499.05 is: 747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.87 : 1,843.19 = 499.05 : x
  2. Step 2: Convert to fraction form
    1,229.87/1,843.19 = 499.05/x
  3. Step 3: Cross multiply
    1,229.87x = 1,843.19 × 499.05
  4. Step 4: Simplify right side
    1,229.87x = 919,841.47
  5. Step 5: Solve for x
    x = 919,841.47/1,229.87
  6. Step 6: Final answer
    x = 747.92

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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.