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Finding the Fourth Proportional to 868.26, 1,198.22 and 475.30

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Solution

The fourth proportional to 868.26, 1,198.22 and 475.30 is: 655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.26 : 1,198.22 = 475.30 : x
  2. Step 2: Convert to fraction form
    868.26/1,198.22 = 475.30/x
  3. Step 3: Cross multiply
    868.26x = 1,198.22 × 475.30
  4. Step 4: Simplify right side
    868.26x = 569,513.97
  5. Step 5: Solve for x
    x = 569,513.97/868.26
  6. Step 6: Final answer
    x = 655.93

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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.