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Finding the Fourth Proportional to 837.05, 1,255.66 and 343.43

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Solution

The fourth proportional to 837.05, 1,255.66 and 343.43 is: 515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.05 : 1,255.66 = 343.43 : x
  2. Step 2: Convert to fraction form
    837.05/1,255.66 = 343.43/x
  3. Step 3: Cross multiply
    837.05x = 1,255.66 × 343.43
  4. Step 4: Simplify right side
    837.05x = 431,235.87
  5. Step 5: Solve for x
    x = 431,235.87/837.05
  6. Step 6: Final answer
    x = 515.19

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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.