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Finding the Fourth Proportional to 884.12, 1,217.63 and 759.78

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Solution

The fourth proportional to 884.12, 1,217.63 and 759.78 is: 1,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.12 : 1,217.63 = 759.78 : x
  2. Step 2: Convert to fraction form
    884.12/1,217.63 = 759.78/x
  3. Step 3: Cross multiply
    884.12x = 1,217.63 × 759.78
  4. Step 4: Simplify right side
    884.12x = 925,132.82
  5. Step 5: Solve for x
    x = 925,132.82/884.12
  6. Step 6: Final answer
    x = 1,046.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.