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Finding the Fourth Proportional to 863.82, 1,190.43 and 630.54

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Solution

The fourth proportional to 863.82, 1,190.43 and 630.54 is: 868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.82 : 1,190.43 = 630.54 : x
  2. Step 2: Convert to fraction form
    863.82/1,190.43 = 630.54/x
  3. Step 3: Cross multiply
    863.82x = 1,190.43 × 630.54
  4. Step 4: Simplify right side
    863.82x = 750,613.73
  5. Step 5: Solve for x
    x = 750,613.73/863.82
  6. Step 6: Final answer
    x = 868.95

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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.