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Finding the Fourth Proportional to 827.37, 1,238.90 and 568.17

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Solution

The fourth proportional to 827.37, 1,238.90 and 568.17 is: 850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.37 : 1,238.90 = 568.17 : x
  2. Step 2: Convert to fraction form
    827.37/1,238.90 = 568.17/x
  3. Step 3: Cross multiply
    827.37x = 1,238.90 × 568.17
  4. Step 4: Simplify right side
    827.37x = 703,902.97
  5. Step 5: Solve for x
    x = 703,902.97/827.37
  6. Step 6: Final answer
    x = 850.77

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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.