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Finding the Fourth Proportional to 1,163.16, 1,744.92 and 724.07

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Solution

The fourth proportional to 1,163.16, 1,744.92 and 724.07 is: 1,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.16 : 1,744.92 = 724.07 : x
  2. Step 2: Convert to fraction form
    1,163.16/1,744.92 = 724.07/x
  3. Step 3: Cross multiply
    1,163.16x = 1,744.92 × 724.07
  4. Step 4: Simplify right side
    1,163.16x = 1,263,448.59
  5. Step 5: Solve for x
    x = 1,263,448.59/1,163.16
  6. Step 6: Final answer
    x = 1,086.22

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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.