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Finding the Fourth Proportional to 728.26, 1,091.22 and 467.44

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Solution

The fourth proportional to 728.26, 1,091.22 and 467.44 is: 700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.26 : 1,091.22 = 467.44 : x
  2. Step 2: Convert to fraction form
    728.26/1,091.22 = 467.44/x
  3. Step 3: Cross multiply
    728.26x = 1,091.22 × 467.44
  4. Step 4: Simplify right side
    728.26x = 510,079.88
  5. Step 5: Solve for x
    x = 510,079.88/728.26
  6. Step 6: Final answer
    x = 700.41

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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.