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Finding the Fourth Proportional to 868.26, 1,198.20 and 475.28

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Solution

The fourth proportional to 868.26, 1,198.20 and 475.28 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.26 : 1,198.20 = 475.28 : x
  2. Step 2: Convert to fraction form
    868.26/1,198.20 = 475.28/x
  3. Step 3: Cross multiply
    868.26x = 1,198.20 × 475.28
  4. Step 4: Simplify right side
    868.26x = 569,484.85
  5. Step 5: Solve for x
    x = 569,484.85/868.26
  6. Step 6: Final answer
    x = 655.89

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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.