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Finding the Fourth Proportional to 891.81, 1,334.21 and 787.92

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Solution

The fourth proportional to 891.81, 1,334.21 and 787.92 is: 1,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.81 : 1,334.21 = 787.92 : x
  2. Step 2: Convert to fraction form
    891.81/1,334.21 = 787.92/x
  3. Step 3: Cross multiply
    891.81x = 1,334.21 × 787.92
  4. Step 4: Simplify right side
    891.81x = 1,051,250.74
  5. Step 5: Solve for x
    x = 1,051,250.74/891.81
  6. Step 6: Final answer
    x = 1,178.78

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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.