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Finding the Fourth Proportional to 883.88, 1,327.11 and 494.65

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Solution

The fourth proportional to 883.88, 1,327.11 and 494.65 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.88 : 1,327.11 = 494.65 : x
  2. Step 2: Convert to fraction form
    883.88/1,327.11 = 494.65/x
  3. Step 3: Cross multiply
    883.88x = 1,327.11 × 494.65
  4. Step 4: Simplify right side
    883.88x = 656,454.96
  5. Step 5: Solve for x
    x = 656,454.96/883.88
  6. Step 6: Final answer
    x = 742.70

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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.