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Finding the Fourth Proportional to 1,229.60, 1,843.19 and 612.38

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Solution

The fourth proportional to 1,229.60, 1,843.19 and 612.38 is: 917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.60 : 1,843.19 = 612.38 : x
  2. Step 2: Convert to fraction form
    1,229.60/1,843.19 = 612.38/x
  3. Step 3: Cross multiply
    1,229.60x = 1,843.19 × 612.38
  4. Step 4: Simplify right side
    1,229.60x = 1,128,736.53
  5. Step 5: Solve for x
    x = 1,128,736.53/1,229.60
  6. Step 6: Final answer
    x = 917.97

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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.