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Finding the Fourth Proportional to 1,217.27, 1,824.09 and 729.79

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Solution

The fourth proportional to 1,217.27, 1,824.09 and 729.79 is: 1,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.27 : 1,824.09 = 729.79 : x
  2. Step 2: Convert to fraction form
    1,217.27/1,824.09 = 729.79/x
  3. Step 3: Cross multiply
    1,217.27x = 1,824.09 × 729.79
  4. Step 4: Simplify right side
    1,217.27x = 1,331,195.34
  5. Step 5: Solve for x
    x = 1,331,195.34/1,217.27
  6. Step 6: Final answer
    x = 1,093.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.