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Finding the Fourth Proportional to 868.46, 1,198.48 and 475.49

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Solution

The fourth proportional to 868.46, 1,198.48 and 475.49 is: 656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.46 : 1,198.48 = 475.49 : x
  2. Step 2: Convert to fraction form
    868.46/1,198.48 = 475.49/x
  3. Step 3: Cross multiply
    868.46x = 1,198.48 × 475.49
  4. Step 4: Simplify right side
    868.46x = 569,859.26
  5. Step 5: Solve for x
    x = 569,859.26/868.46
  6. Step 6: Final answer
    x = 656.17

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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.