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Finding the Fourth Proportional to 723.12, 1,081.76 and 671.28

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Solution

The fourth proportional to 723.12, 1,081.76 and 671.28 is: 1,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.12 : 1,081.76 = 671.28 : x
  2. Step 2: Convert to fraction form
    723.12/1,081.76 = 671.28/x
  3. Step 3: Cross multiply
    723.12x = 1,081.76 × 671.28
  4. Step 4: Simplify right side
    723.12x = 726,163.85
  5. Step 5: Solve for x
    x = 726,163.85/723.12
  6. Step 6: Final answer
    x = 1,004.21

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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.