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Finding the Fourth Proportional to 723.77, 1,081.26 and 461.69

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Solution

The fourth proportional to 723.77, 1,081.26 and 461.69 is: 689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.77 : 1,081.26 = 461.69 : x
  2. Step 2: Convert to fraction form
    723.77/1,081.26 = 461.69/x
  3. Step 3: Cross multiply
    723.77x = 1,081.26 × 461.69
  4. Step 4: Simplify right side
    723.77x = 499,201.52
  5. Step 5: Solve for x
    x = 499,201.52/723.77
  6. Step 6: Final answer
    x = 689.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.