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Finding the Fourth Proportional to 1,229.60, 1,844.40 and 363.90

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Solution

The fourth proportional to 1,229.60, 1,844.40 and 363.90 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.60 : 1,844.40 = 363.90 : x
  2. Step 2: Convert to fraction form
    1,229.60/1,844.40 = 363.90/x
  3. Step 3: Cross multiply
    1,229.60x = 1,844.40 × 363.90
  4. Step 4: Simplify right side
    1,229.60x = 671,177.16
  5. Step 5: Solve for x
    x = 671,177.16/1,229.60
  6. Step 6: Final answer
    x = 545.85

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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.