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Finding the Fourth Proportional to 911.70, 1,257.96 and 865.56

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Solution

The fourth proportional to 911.70, 1,257.96 and 865.56 is: 1,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.70 : 1,257.96 = 865.56 : x
  2. Step 2: Convert to fraction form
    911.70/1,257.96 = 865.56/x
  3. Step 3: Cross multiply
    911.70x = 1,257.96 × 865.56
  4. Step 4: Simplify right side
    911.70x = 1,088,839.86
  5. Step 5: Solve for x
    x = 1,088,839.86/911.70
  6. Step 6: Final answer
    x = 1,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.