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Finding the Fourth Proportional to 838.92, 1,255.14 and 800.58

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Solution

The fourth proportional to 838.92, 1,255.14 and 800.58 is: 1,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.92 : 1,255.14 = 800.58 : x
  2. Step 2: Convert to fraction form
    838.92/1,255.14 = 800.58/x
  3. Step 3: Cross multiply
    838.92x = 1,255.14 × 800.58
  4. Step 4: Simplify right side
    838.92x = 1,004,839.98
  5. Step 5: Solve for x
    x = 1,004,839.98/838.92
  6. Step 6: Final answer
    x = 1,197.78

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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.