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Finding the Fourth Proportional to 861.38, 1,188.60 and 599.48

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Solution

The fourth proportional to 861.38, 1,188.60 and 599.48 is: 827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.38 : 1,188.60 = 599.48 : x
  2. Step 2: Convert to fraction form
    861.38/1,188.60 = 599.48/x
  3. Step 3: Cross multiply
    861.38x = 1,188.60 × 599.48
  4. Step 4: Simplify right side
    861.38x = 712,541.93
  5. Step 5: Solve for x
    x = 712,541.93/861.38
  6. Step 6: Final answer
    x = 827.21

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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.