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Finding the Fourth Proportional to 1,311.28, 1,966.89 and 489.57

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Solution

The fourth proportional to 1,311.28, 1,966.89 and 489.57 is: 734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.28 : 1,966.89 = 489.57 : x
  2. Step 2: Convert to fraction form
    1,311.28/1,966.89 = 489.57/x
  3. Step 3: Cross multiply
    1,311.28x = 1,966.89 × 489.57
  4. Step 4: Simplify right side
    1,311.28x = 962,930.34
  5. Step 5: Solve for x
    x = 962,930.34/1,311.28
  6. Step 6: Final answer
    x = 734.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.