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Finding the Fourth Proportional to 724.82, 1,086.21 and 416.81

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Solution

The fourth proportional to 724.82, 1,086.21 and 416.81 is: 624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.82 : 1,086.21 = 416.81 : x
  2. Step 2: Convert to fraction form
    724.82/1,086.21 = 416.81/x
  3. Step 3: Cross multiply
    724.82x = 1,086.21 × 416.81
  4. Step 4: Simplify right side
    724.82x = 452,745.91
  5. Step 5: Solve for x
    x = 452,745.91/724.82
  6. Step 6: Final answer
    x = 624.64

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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.