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Finding the Fourth Proportional to 862.43, 1,190.11 and 489.45

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Solution

The fourth proportional to 862.43, 1,190.11 and 489.45 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.43 : 1,190.11 = 489.45 : x
  2. Step 2: Convert to fraction form
    862.43/1,190.11 = 489.45/x
  3. Step 3: Cross multiply
    862.43x = 1,190.11 × 489.45
  4. Step 4: Simplify right side
    862.43x = 582,493.39
  5. Step 5: Solve for x
    x = 582,493.39/862.43
  6. Step 6: Final answer
    x = 675.41

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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.