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Finding the Fourth Proportional to 1,229.39, 1,844.38 and 363.71

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Solution

The fourth proportional to 1,229.39, 1,844.38 and 363.71 is: 545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.39 : 1,844.38 = 363.71 : x
  2. Step 2: Convert to fraction form
    1,229.39/1,844.38 = 363.71/x
  3. Step 3: Cross multiply
    1,229.39x = 1,844.38 × 363.71
  4. Step 4: Simplify right side
    1,229.39x = 670,810.23
  5. Step 5: Solve for x
    x = 670,810.23/1,229.39
  6. Step 6: Final answer
    x = 545.64

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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.