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Finding the Fourth Proportional to 868.22, 1,198.14 and 475.27

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Solution

The fourth proportional to 868.22, 1,198.14 and 475.27 is: 655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.22 : 1,198.14 = 475.27 : x
  2. Step 2: Convert to fraction form
    868.22/1,198.14 = 475.27/x
  3. Step 3: Cross multiply
    868.22x = 1,198.14 × 475.27
  4. Step 4: Simplify right side
    868.22x = 569,437.89
  5. Step 5: Solve for x
    x = 569,437.89/868.22
  6. Step 6: Final answer
    x = 655.87

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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.