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Finding the Fourth Proportional to 729.19, 1,093.97 and 296.47

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Solution

The fourth proportional to 729.19, 1,093.97 and 296.47 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.19 : 1,093.97 = 296.47 : x
  2. Step 2: Convert to fraction form
    729.19/1,093.97 = 296.47/x
  3. Step 3: Cross multiply
    729.19x = 1,093.97 × 296.47
  4. Step 4: Simplify right side
    729.19x = 324,329.29
  5. Step 5: Solve for x
    x = 324,329.29/729.19
  6. Step 6: Final answer
    x = 444.78

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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.