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Finding the Fourth Proportional to 723.91, 1,086.12 and 416.02

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Solution

The fourth proportional to 723.91, 1,086.12 and 416.02 is: 624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.91 : 1,086.12 = 416.02 : x
  2. Step 2: Convert to fraction form
    723.91/1,086.12 = 416.02/x
  3. Step 3: Cross multiply
    723.91x = 1,086.12 × 416.02
  4. Step 4: Simplify right side
    723.91x = 451,845.56
  5. Step 5: Solve for x
    x = 451,845.56/723.91
  6. Step 6: Final answer
    x = 624.17

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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.