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Finding the Fourth Proportional to 861.57, 1,189.02 and 488.56

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Solution

The fourth proportional to 861.57, 1,189.02 and 488.56 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.57 : 1,189.02 = 488.56 : x
  2. Step 2: Convert to fraction form
    861.57/1,189.02 = 488.56/x
  3. Step 3: Cross multiply
    861.57x = 1,189.02 × 488.56
  4. Step 4: Simplify right side
    861.57x = 580,907.61
  5. Step 5: Solve for x
    x = 580,907.61/861.57
  6. Step 6: Final answer
    x = 674.24

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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.