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Finding the Fourth Proportional to 868.69, 1,198.75 and 475.64

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Solution

The fourth proportional to 868.69, 1,198.75 and 475.64 is: 656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.69 : 1,198.75 = 475.64 : x
  2. Step 2: Convert to fraction form
    868.69/1,198.75 = 475.64/x
  3. Step 3: Cross multiply
    868.69x = 1,198.75 × 475.64
  4. Step 4: Simplify right side
    868.69x = 570,171.65
  5. Step 5: Solve for x
    x = 570,171.65/868.69
  6. Step 6: Final answer
    x = 656.36

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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.