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Finding the Fourth Proportional to 773.18, 1,158.27 and 733.82

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Solution

The fourth proportional to 773.18, 1,158.27 and 733.82 is: 1,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.18 : 1,158.27 = 733.82 : x
  2. Step 2: Convert to fraction form
    773.18/1,158.27 = 733.82/x
  3. Step 3: Cross multiply
    773.18x = 1,158.27 × 733.82
  4. Step 4: Simplify right side
    773.18x = 849,961.69
  5. Step 5: Solve for x
    x = 849,961.69/773.18
  6. Step 6: Final answer
    x = 1,099.31

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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.