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Finding the Fourth Proportional to 729.23, 1,093.14 and 377.73

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Solution

The fourth proportional to 729.23, 1,093.14 and 377.73 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.23 : 1,093.14 = 377.73 : x
  2. Step 2: Convert to fraction form
    729.23/1,093.14 = 377.73/x
  3. Step 3: Cross multiply
    729.23x = 1,093.14 × 377.73
  4. Step 4: Simplify right side
    729.23x = 412,911.77
  5. Step 5: Solve for x
    x = 412,911.77/729.23
  6. Step 6: Final answer
    x = 566.23

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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.