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Finding the Fourth Proportional to 1,311.11, 1,965.63 and 489.27

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Solution

The fourth proportional to 1,311.11, 1,965.63 and 489.27 is: 733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.11 : 1,965.63 = 489.27 : x
  2. Step 2: Convert to fraction form
    1,311.11/1,965.63 = 489.27/x
  3. Step 3: Cross multiply
    1,311.11x = 1,965.63 × 489.27
  4. Step 4: Simplify right side
    1,311.11x = 961,723.79
  5. Step 5: Solve for x
    x = 961,723.79/1,311.11
  6. Step 6: Final answer
    x = 733.52

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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.