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Finding the Fourth Proportional to 711.92, 1,067.10 and 273.08

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Solution

The fourth proportional to 711.92, 1,067.10 and 273.08 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,067.10 = 273.08 : x
  2. Step 2: Convert to fraction form
    711.92/1,067.10 = 273.08/x
  3. Step 3: Cross multiply
    711.92x = 1,067.10 × 273.08
  4. Step 4: Simplify right side
    711.92x = 291,403.67
  5. Step 5: Solve for x
    x = 291,403.67/711.92
  6. Step 6: Final answer
    x = 409.32

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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.