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Finding the Fourth Proportional to 1,162.46, 1,744.54 and 724.37

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Solution

The fourth proportional to 1,162.46, 1,744.54 and 724.37 is: 1,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.46 : 1,744.54 = 724.37 : x
  2. Step 2: Convert to fraction form
    1,162.46/1,744.54 = 724.37/x
  3. Step 3: Cross multiply
    1,162.46x = 1,744.54 × 724.37
  4. Step 4: Simplify right side
    1,162.46x = 1,263,681.91
  5. Step 5: Solve for x
    x = 1,263,681.91/1,162.46
  6. Step 6: Final answer
    x = 1,087.07

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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.