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Finding the Fourth Proportional to 1,229.43, 1,844.23 and 408.28

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Solution

The fourth proportional to 1,229.43, 1,844.23 and 408.28 is: 612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.43 : 1,844.23 = 408.28 : x
  2. Step 2: Convert to fraction form
    1,229.43/1,844.23 = 408.28/x
  3. Step 3: Cross multiply
    1,229.43x = 1,844.23 × 408.28
  4. Step 4: Simplify right side
    1,229.43x = 752,962.22
  5. Step 5: Solve for x
    x = 752,962.22/1,229.43
  6. Step 6: Final answer
    x = 612.45

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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.