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Finding the Fourth Proportional to 861.44, 1,188.82 and 488.48

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Solution

The fourth proportional to 861.44, 1,188.82 and 488.48 is: 674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.44 : 1,188.82 = 488.48 : x
  2. Step 2: Convert to fraction form
    861.44/1,188.82 = 488.48/x
  3. Step 3: Cross multiply
    861.44x = 1,188.82 × 488.48
  4. Step 4: Simplify right side
    861.44x = 580,714.79
  5. Step 5: Solve for x
    x = 580,714.79/861.44
  6. Step 6: Final answer
    x = 674.12

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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.