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Finding the Fourth Proportional to 729.54, 1,093.23 and 363.78

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Solution

The fourth proportional to 729.54, 1,093.23 and 363.78 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.54 : 1,093.23 = 363.78 : x
  2. Step 2: Convert to fraction form
    729.54/1,093.23 = 363.78/x
  3. Step 3: Cross multiply
    729.54x = 1,093.23 × 363.78
  4. Step 4: Simplify right side
    729.54x = 397,695.21
  5. Step 5: Solve for x
    x = 397,695.21/729.54
  6. Step 6: Final answer
    x = 545.13

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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.