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Finding the Fourth Proportional to 843.39, 1,259.05 and 837.57

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Solution

The fourth proportional to 843.39, 1,259.05 and 837.57 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.39 : 1,259.05 = 837.57 : x
  2. Step 2: Convert to fraction form
    843.39/1,259.05 = 837.57/x
  3. Step 3: Cross multiply
    843.39x = 1,259.05 × 837.57
  4. Step 4: Simplify right side
    843.39x = 1,054,540.41
  5. Step 5: Solve for x
    x = 1,054,540.41/843.39
  6. Step 6: Final answer
    x = 1,250.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.