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Finding the Fourth Proportional to 868.25, 1,198.80 and 574.02

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Solution

The fourth proportional to 868.25, 1,198.80 and 574.02 is: 792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.25 : 1,198.80 = 574.02 : x
  2. Step 2: Convert to fraction form
    868.25/1,198.80 = 574.02/x
  3. Step 3: Cross multiply
    868.25x = 1,198.80 × 574.02
  4. Step 4: Simplify right side
    868.25x = 688,135.18
  5. Step 5: Solve for x
    x = 688,135.18/868.25
  6. Step 6: Final answer
    x = 792.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.