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Finding the Fourth Proportional to 1,311.25, 1,966.98 and 489.33

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Solution

The fourth proportional to 1,311.25, 1,966.98 and 489.33 is: 734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.25 : 1,966.98 = 489.33 : x
  2. Step 2: Convert to fraction form
    1,311.25/1,966.98 = 489.33/x
  3. Step 3: Cross multiply
    1,311.25x = 1,966.98 × 489.33
  4. Step 4: Simplify right side
    1,311.25x = 962,502.32
  5. Step 5: Solve for x
    x = 962,502.32/1,311.25
  6. Step 6: Final answer
    x = 734.03

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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.