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Finding the Fourth Proportional to 865.49, 1,200.49 and 834.36

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Solution

The fourth proportional to 865.49, 1,200.49 and 834.36 is: 1,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.49 : 1,200.49 = 834.36 : x
  2. Step 2: Convert to fraction form
    865.49/1,200.49 = 834.36/x
  3. Step 3: Cross multiply
    865.49x = 1,200.49 × 834.36
  4. Step 4: Simplify right side
    865.49x = 1,001,640.84
  5. Step 5: Solve for x
    x = 1,001,640.84/865.49
  6. Step 6: Final answer
    x = 1,157.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.