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Finding the Fourth Proportional to 863.48, 1,190.92 and 610.96

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Solution

The fourth proportional to 863.48, 1,190.92 and 610.96 is: 842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.48 : 1,190.92 = 610.96 : x
  2. Step 2: Convert to fraction form
    863.48/1,190.92 = 610.96/x
  3. Step 3: Cross multiply
    863.48x = 1,190.92 × 610.96
  4. Step 4: Simplify right side
    863.48x = 727,604.48
  5. Step 5: Solve for x
    x = 727,604.48/863.48
  6. Step 6: Final answer
    x = 842.64

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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.