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Finding the Fourth Proportional to 884.36, 1,327.09 and 494.61

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Solution

The fourth proportional to 884.36, 1,327.09 and 494.61 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.36 : 1,327.09 = 494.61 : x
  2. Step 2: Convert to fraction form
    884.36/1,327.09 = 494.61/x
  3. Step 3: Cross multiply
    884.36x = 1,327.09 × 494.61
  4. Step 4: Simplify right side
    884.36x = 656,394.16
  5. Step 5: Solve for x
    x = 656,394.16/884.36
  6. Step 6: Final answer
    x = 742.23

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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.