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Finding the Fourth Proportional to 729.48, 1,093.26 and 296.12

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Solution

The fourth proportional to 729.48, 1,093.26 and 296.12 is: 443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.48 : 1,093.26 = 296.12 : x
  2. Step 2: Convert to fraction form
    729.48/1,093.26 = 296.12/x
  3. Step 3: Cross multiply
    729.48x = 1,093.26 × 296.12
  4. Step 4: Simplify right side
    729.48x = 323,736.15
  5. Step 5: Solve for x
    x = 323,736.15/729.48
  6. Step 6: Final answer
    x = 443.79

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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.