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Finding the Fourth Proportional to 728.38, 1,093.05 and 343.66

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Solution

The fourth proportional to 728.38, 1,093.05 and 343.66 is: 515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.38 : 1,093.05 = 343.66 : x
  2. Step 2: Convert to fraction form
    728.38/1,093.05 = 343.66/x
  3. Step 3: Cross multiply
    728.38x = 1,093.05 × 343.66
  4. Step 4: Simplify right side
    728.38x = 375,637.56
  5. Step 5: Solve for x
    x = 375,637.56/728.38
  6. Step 6: Final answer
    x = 515.72

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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.