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Finding the Fourth Proportional to 1,229.57, 1,843.44 and 499.08

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Solution

The fourth proportional to 1,229.57, 1,843.44 and 499.08 is: 748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.57 : 1,843.44 = 499.08 : x
  2. Step 2: Convert to fraction form
    1,229.57/1,843.44 = 499.08/x
  3. Step 3: Cross multiply
    1,229.57x = 1,843.44 × 499.08
  4. Step 4: Simplify right side
    1,229.57x = 920,024.04
  5. Step 5: Solve for x
    x = 920,024.04/1,229.57
  6. Step 6: Final answer
    x = 748.25

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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.