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Finding the Fourth Proportional to 729.14, 1,093.72 and 406.54

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Solution

The fourth proportional to 729.14, 1,093.72 and 406.54 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,093.72 = 406.54 : x
  2. Step 2: Convert to fraction form
    729.14/1,093.72 = 406.54/x
  3. Step 3: Cross multiply
    729.14x = 1,093.72 × 406.54
  4. Step 4: Simplify right side
    729.14x = 444,640.93
  5. Step 5: Solve for x
    x = 444,640.93/729.14
  6. Step 6: Final answer
    x = 609.82

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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.