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Finding the Fourth Proportional to 838.29, 1,255.75 and 665.25

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Solution

The fourth proportional to 838.29, 1,255.75 and 665.25 is: 996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.29 : 1,255.75 = 665.25 : x
  2. Step 2: Convert to fraction form
    838.29/1,255.75 = 665.25/x
  3. Step 3: Cross multiply
    838.29x = 1,255.75 × 665.25
  4. Step 4: Simplify right side
    838.29x = 835,387.69
  5. Step 5: Solve for x
    x = 835,387.69/838.29
  6. Step 6: Final answer
    x = 996.54

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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.