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Finding the Fourth Proportional to 868.21, 1,198.52 and 553.90

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Solution

The fourth proportional to 868.21, 1,198.52 and 553.90 is: 764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.21 : 1,198.52 = 553.90 : x
  2. Step 2: Convert to fraction form
    868.21/1,198.52 = 553.90/x
  3. Step 3: Cross multiply
    868.21x = 1,198.52 × 553.90
  4. Step 4: Simplify right side
    868.21x = 663,858.62
  5. Step 5: Solve for x
    x = 663,858.62/868.21
  6. Step 6: Final answer
    x = 764.63

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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.