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Finding the Fourth Proportional to 1,252.97, 1,879.44 and 512.42

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Solution

The fourth proportional to 1,252.97, 1,879.44 and 512.42 is: 768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.97 : 1,879.44 = 512.42 : x
  2. Step 2: Convert to fraction form
    1,252.97/1,879.44 = 512.42/x
  3. Step 3: Cross multiply
    1,252.97x = 1,879.44 × 512.42
  4. Step 4: Simplify right side
    1,252.97x = 963,062.64
  5. Step 5: Solve for x
    x = 963,062.64/1,252.97
  6. Step 6: Final answer
    x = 768.62

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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.