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Finding the Fourth Proportional to 868.88, 1,199.50 and 537.78

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Solution

The fourth proportional to 868.88, 1,199.50 and 537.78 is: 742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.88 : 1,199.50 = 537.78 : x
  2. Step 2: Convert to fraction form
    868.88/1,199.50 = 537.78/x
  3. Step 3: Cross multiply
    868.88x = 1,199.50 × 537.78
  4. Step 4: Simplify right side
    868.88x = 645,067.11
  5. Step 5: Solve for x
    x = 645,067.11/868.88
  6. Step 6: Final answer
    x = 742.41

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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.