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Finding the Fourth Proportional to 882.25, 1,217.19 and 550.55

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Solution

The fourth proportional to 882.25, 1,217.19 and 550.55 is: 759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.25 : 1,217.19 = 550.55 : x
  2. Step 2: Convert to fraction form
    882.25/1,217.19 = 550.55/x
  3. Step 3: Cross multiply
    882.25x = 1,217.19 × 550.55
  4. Step 4: Simplify right side
    882.25x = 670,123.95
  5. Step 5: Solve for x
    x = 670,123.95/882.25
  6. Step 6: Final answer
    x = 759.56

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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.