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Finding the Fourth Proportional to 868.68, 1,198.80 and 475.70

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Solution

The fourth proportional to 868.68, 1,198.80 and 475.70 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.68 : 1,198.80 = 475.70 : x
  2. Step 2: Convert to fraction form
    868.68/1,198.80 = 475.70/x
  3. Step 3: Cross multiply
    868.68x = 1,198.80 × 475.70
  4. Step 4: Simplify right side
    868.68x = 570,263.17
  5. Step 5: Solve for x
    x = 570,263.17/868.68
  6. Step 6: Final answer
    x = 656.47

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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.