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Finding the Fourth Proportional to 1,163.36, 1,744.92 and 729.20

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Solution

The fourth proportional to 1,163.36, 1,744.92 and 729.20 is: 1,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.36 : 1,744.92 = 729.20 : x
  2. Step 2: Convert to fraction form
    1,163.36/1,744.92 = 729.20/x
  3. Step 3: Cross multiply
    1,163.36x = 1,744.92 × 729.20
  4. Step 4: Simplify right side
    1,163.36x = 1,272,395.66
  5. Step 5: Solve for x
    x = 1,272,395.66/1,163.36
  6. Step 6: Final answer
    x = 1,093.72

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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.