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Finding the Fourth Proportional to 862, 1,189.42 and 488.90

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Solution

The fourth proportional to 862, 1,189.42 and 488.90 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,189.42 = 488.90 : x
  2. Step 2: Convert to fraction form
    862/1,189.42 = 488.90/x
  3. Step 3: Cross multiply
    862x = 1,189.42 × 488.90
  4. Step 4: Simplify right side
    862x = 581,507.44
  5. Step 5: Solve for x
    x = 581,507.44/862
  6. Step 6: Final answer
    x = 674.60

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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.