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Finding the Fourth Proportional to 1,217.56, 1,826.82 and 724.36

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Solution

The fourth proportional to 1,217.56, 1,826.82 and 724.36 is: 1,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.56 : 1,826.82 = 724.36 : x
  2. Step 2: Convert to fraction form
    1,217.56/1,826.82 = 724.36/x
  3. Step 3: Cross multiply
    1,217.56x = 1,826.82 × 724.36
  4. Step 4: Simplify right side
    1,217.56x = 1,323,275.34
  5. Step 5: Solve for x
    x = 1,323,275.34/1,217.56
  6. Step 6: Final answer
    x = 1,086.83

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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.