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Finding the Fourth Proportional to 712.10, 1,067.54 and 273.20

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Solution

The fourth proportional to 712.10, 1,067.54 and 273.20 is: 409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.10 : 1,067.54 = 273.20 : x
  2. Step 2: Convert to fraction form
    712.10/1,067.54 = 273.20/x
  3. Step 3: Cross multiply
    712.10x = 1,067.54 × 273.20
  4. Step 4: Simplify right side
    712.10x = 291,645.22
  5. Step 5: Solve for x
    x = 291,645.22/712.10
  6. Step 6: Final answer
    x = 409.56

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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.