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Finding the Fourth Proportional to 862.38, 1,190.12 and 489.38

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Solution

The fourth proportional to 862.38, 1,190.12 and 489.38 is: 675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.38 : 1,190.12 = 489.38 : x
  2. Step 2: Convert to fraction form
    862.38/1,190.12 = 489.38/x
  3. Step 3: Cross multiply
    862.38x = 1,190.12 × 489.38
  4. Step 4: Simplify right side
    862.38x = 582,412.53
  5. Step 5: Solve for x
    x = 582,412.53/862.38
  6. Step 6: Final answer
    x = 675.35

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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.