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Finding the Fourth Proportional to 868, 1,198.80 and 574.56

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Solution

The fourth proportional to 868, 1,198.80 and 574.56 is: 793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    868 : 1,198.80 = 574.56 : x
  2. Step 2: Convert to fraction form
    868/1,198.80 = 574.56/x
  3. Step 3: Cross multiply
    868x = 1,198.80 × 574.56
  4. Step 4: Simplify right side
    868x = 688,782.53
  5. Step 5: Solve for x
    x = 688,782.53/868
  6. Step 6: Final answer
    x = 793.53

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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.