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Finding the Fourth Proportional to 865.96, 1,299.03 and 838.15

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Solution

The fourth proportional to 865.96, 1,299.03 and 838.15 is: 1,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.96 : 1,299.03 = 838.15 : x
  2. Step 2: Convert to fraction form
    865.96/1,299.03 = 838.15/x
  3. Step 3: Cross multiply
    865.96x = 1,299.03 × 838.15
  4. Step 4: Simplify right side
    865.96x = 1,088,781.99
  5. Step 5: Solve for x
    x = 1,088,781.99/865.96
  6. Step 6: Final answer
    x = 1,257.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.