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Finding the Fourth Proportional to 712.44, 1,067.04 and 387.36

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Solution

The fourth proportional to 712.44, 1,067.04 and 387.36 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.44 : 1,067.04 = 387.36 : x
  2. Step 2: Convert to fraction form
    712.44/1,067.04 = 387.36/x
  3. Step 3: Cross multiply
    712.44x = 1,067.04 × 387.36
  4. Step 4: Simplify right side
    712.44x = 413,328.61
  5. Step 5: Solve for x
    x = 413,328.61/712.44
  6. Step 6: Final answer
    x = 580.16

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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.