Home / 1,378.14-2,067.39-512.34

Finding the Fourth Proportional to 1,378.14, 2,067.39 and 512.34

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Solution

The fourth proportional to 1,378.14, 2,067.39 and 512.34 is: 768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.14 : 2,067.39 = 512.34 : x
  2. Step 2: Convert to fraction form
    1,378.14/2,067.39 = 512.34/x
  3. Step 3: Cross multiply
    1,378.14x = 2,067.39 × 512.34
  4. Step 4: Simplify right side
    1,378.14x = 1,059,206.59
  5. Step 5: Solve for x
    x = 1,059,206.59/1,378.14
  6. Step 6: Final answer
    x = 768.58

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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.