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Finding the Fourth Proportional to 1,231.28, 1,844.18 and 743.31

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Solution

The fourth proportional to 1,231.28, 1,844.18 and 743.31 is: 1,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.28 : 1,844.18 = 743.31 : x
  2. Step 2: Convert to fraction form
    1,231.28/1,844.18 = 743.31/x
  3. Step 3: Cross multiply
    1,231.28x = 1,844.18 × 743.31
  4. Step 4: Simplify right side
    1,231.28x = 1,370,793.72
  5. Step 5: Solve for x
    x = 1,370,793.72/1,231.28
  6. Step 6: Final answer
    x = 1,113.31

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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.