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Finding the Fourth Proportional to 1,378, 2,067.24 and 512.36

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Solution

The fourth proportional to 1,378, 2,067.24 and 512.36 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378 : 2,067.24 = 512.36 : x
  2. Step 2: Convert to fraction form
    1,378/2,067.24 = 512.36/x
  3. Step 3: Cross multiply
    1,378x = 2,067.24 × 512.36
  4. Step 4: Simplify right side
    1,378x = 1,059,171.09
  5. Step 5: Solve for x
    x = 1,059,171.09/1,378
  6. Step 6: Final answer
    x = 768.63

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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.