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Finding the Fourth Proportional to 884.79, 1,327.20 and 494.57

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Solution

The fourth proportional to 884.79, 1,327.20 and 494.57 is: 741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.79 : 1,327.20 = 494.57 : x
  2. Step 2: Convert to fraction form
    884.79/1,327.20 = 494.57/x
  3. Step 3: Cross multiply
    884.79x = 1,327.20 × 494.57
  4. Step 4: Simplify right side
    884.79x = 656,393.30
  5. Step 5: Solve for x
    x = 656,393.30/884.79
  6. Step 6: Final answer
    x = 741.86

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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.