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Finding the Fourth Proportional to 723.62, 998.61 and 566.46

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Solution

The fourth proportional to 723.62, 998.61 and 566.46 is: 781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 998.61 = 566.46 : x
  2. Step 2: Convert to fraction form
    723.62/998.61 = 566.46/x
  3. Step 3: Cross multiply
    723.62x = 998.61 × 566.46
  4. Step 4: Simplify right side
    723.62x = 565,672.62
  5. Step 5: Solve for x
    x = 565,672.62/723.62
  6. Step 6: Final answer
    x = 781.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.