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Finding the Fourth Proportional to 843.44, 1,272.06 and 834.23

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Solution

The fourth proportional to 843.44, 1,272.06 and 834.23 is: 1,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.44 : 1,272.06 = 834.23 : x
  2. Step 2: Convert to fraction form
    843.44/1,272.06 = 834.23/x
  3. Step 3: Cross multiply
    843.44x = 1,272.06 × 834.23
  4. Step 4: Simplify right side
    843.44x = 1,061,193.79
  5. Step 5: Solve for x
    x = 1,061,193.79/843.44
  6. Step 6: Final answer
    x = 1,258.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.