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Finding the Fourth Proportional to 1,244.31, 1,865.85 and 724.45

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Solution

The fourth proportional to 1,244.31, 1,865.85 and 724.45 is: 1,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.31 : 1,865.85 = 724.45 : x
  2. Step 2: Convert to fraction form
    1,244.31/1,865.85 = 724.45/x
  3. Step 3: Cross multiply
    1,244.31x = 1,865.85 × 724.45
  4. Step 4: Simplify right side
    1,244.31x = 1,351,715.03
  5. Step 5: Solve for x
    x = 1,351,715.03/1,244.31
  6. Step 6: Final answer
    x = 1,086.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.