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Finding the Fourth Proportional to 834.40, 1,245.07 and 773.28

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Solution

The fourth proportional to 834.40, 1,245.07 and 773.28 is: 1,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,245.07 = 773.28 : x
  2. Step 2: Convert to fraction form
    834.40/1,245.07 = 773.28/x
  3. Step 3: Cross multiply
    834.40x = 1,245.07 × 773.28
  4. Step 4: Simplify right side
    834.40x = 962,787.73
  5. Step 5: Solve for x
    x = 962,787.73/834.40
  6. Step 6: Final answer
    x = 1,153.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.