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Finding the Fourth Proportional to 1,229.78, 1,844.78 and 408.06

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Solution

The fourth proportional to 1,229.78, 1,844.78 and 408.06 is: 612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.78 : 1,844.78 = 408.06 : x
  2. Step 2: Convert to fraction form
    1,229.78/1,844.78 = 408.06/x
  3. Step 3: Cross multiply
    1,229.78x = 1,844.78 × 408.06
  4. Step 4: Simplify right side
    1,229.78x = 752,780.93
  5. Step 5: Solve for x
    x = 752,780.93/1,229.78
  6. Step 6: Final answer
    x = 612.13

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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.