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Finding the Fourth Proportional to 928.68, 1,393.11 and 343.83

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Solution

The fourth proportional to 928.68, 1,393.11 and 343.83 is: 515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.68 : 1,393.11 = 343.83 : x
  2. Step 2: Convert to fraction form
    928.68/1,393.11 = 343.83/x
  3. Step 3: Cross multiply
    928.68x = 1,393.11 × 343.83
  4. Step 4: Simplify right side
    928.68x = 478,993.01
  5. Step 5: Solve for x
    x = 478,993.01/928.68
  6. Step 6: Final answer
    x = 515.78

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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.