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Finding the Fourth Proportional to 961, 1,326.34 and 727.72

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Solution

The fourth proportional to 961, 1,326.34 and 727.72 is: 1,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    961 : 1,326.34 = 727.72 : x
  2. Step 2: Convert to fraction form
    961/1,326.34 = 727.72/x
  3. Step 3: Cross multiply
    961x = 1,326.34 × 727.72
  4. Step 4: Simplify right side
    961x = 965,204.14
  5. Step 5: Solve for x
    x = 965,204.14/961
  6. Step 6: Final answer
    x = 1,004.37

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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.