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Finding the Fourth Proportional to 867.72, 1,195.20 and 727.68

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Solution

The fourth proportional to 867.72, 1,195.20 and 727.68 is: 1,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.72 : 1,195.20 = 727.68 : x
  2. Step 2: Convert to fraction form
    867.72/1,195.20 = 727.68/x
  3. Step 3: Cross multiply
    867.72x = 1,195.20 × 727.68
  4. Step 4: Simplify right side
    867.72x = 869,723.14
  5. Step 5: Solve for x
    x = 869,723.14/867.72
  6. Step 6: Final answer
    x = 1,002.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.