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Finding the Fourth Proportional to 859.33, 1,287.64 and 827.29

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Solution

The fourth proportional to 859.33, 1,287.64 and 827.29 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.33 : 1,287.64 = 827.29 : x
  2. Step 2: Convert to fraction form
    859.33/1,287.64 = 827.29/x
  3. Step 3: Cross multiply
    859.33x = 1,287.64 × 827.29
  4. Step 4: Simplify right side
    859.33x = 1,065,251.70
  5. Step 5: Solve for x
    x = 1,065,251.70/859.33
  6. Step 6: Final answer
    x = 1,239.63

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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.