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Finding the Fourth Proportional to 1,517.91, 2,277.13 and 628.44

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Solution

The fourth proportional to 1,517.91, 2,277.13 and 628.44 is: 942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.91 : 2,277.13 = 628.44 : x
  2. Step 2: Convert to fraction form
    1,517.91/2,277.13 = 628.44/x
  3. Step 3: Cross multiply
    1,517.91x = 2,277.13 × 628.44
  4. Step 4: Simplify right side
    1,517.91x = 1,431,025.05
  5. Step 5: Solve for x
    x = 1,431,025.05/1,517.91
  6. Step 6: Final answer
    x = 942.76

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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.