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Finding the Fourth Proportional to 868.72, 1,198.83 and 475.78

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Solution

The fourth proportional to 868.72, 1,198.83 and 475.78 is: 656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.72 : 1,198.83 = 475.78 : x
  2. Step 2: Convert to fraction form
    868.72/1,198.83 = 475.78/x
  3. Step 3: Cross multiply
    868.72x = 1,198.83 × 475.78
  4. Step 4: Simplify right side
    868.72x = 570,379.34
  5. Step 5: Solve for x
    x = 570,379.34/868.72
  6. Step 6: Final answer
    x = 656.57

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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.