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Finding the Fourth Proportional to 728.58, 1,092.84 and 180.75

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Solution

The fourth proportional to 728.58, 1,092.84 and 180.75 is: 271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.58 : 1,092.84 = 180.75 : x
  2. Step 2: Convert to fraction form
    728.58/1,092.84 = 180.75/x
  3. Step 3: Cross multiply
    728.58x = 1,092.84 × 180.75
  4. Step 4: Simplify right side
    728.58x = 197,530.83
  5. Step 5: Solve for x
    x = 197,530.83/728.58
  6. Step 6: Final answer
    x = 271.12

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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.