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Finding the Fourth Proportional to 891.73, 1,231.84 and 768.75

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Solution

The fourth proportional to 891.73, 1,231.84 and 768.75 is: 1,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.73 : 1,231.84 = 768.75 : x
  2. Step 2: Convert to fraction form
    891.73/1,231.84 = 768.75/x
  3. Step 3: Cross multiply
    891.73x = 1,231.84 × 768.75
  4. Step 4: Simplify right side
    891.73x = 946,977.00
  5. Step 5: Solve for x
    x = 946,977.00/891.73
  6. Step 6: Final answer
    x = 1,061.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.