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Finding the Fourth Proportional to 862.75, 1,190.57 and 489.76

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Solution

The fourth proportional to 862.75, 1,190.57 and 489.76 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,190.57 = 489.76 : x
  2. Step 2: Convert to fraction form
    862.75/1,190.57 = 489.76/x
  3. Step 3: Cross multiply
    862.75x = 1,190.57 × 489.76
  4. Step 4: Simplify right side
    862.75x = 583,091.11
  5. Step 5: Solve for x
    x = 583,091.11/862.75
  6. Step 6: Final answer
    x = 675.86

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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.