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Finding the Fourth Proportional to 729.27, 1,095.26 and 680.13

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Solution

The fourth proportional to 729.27, 1,095.26 and 680.13 is: 1,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.27 : 1,095.26 = 680.13 : x
  2. Step 2: Convert to fraction form
    729.27/1,095.26 = 680.13/x
  3. Step 3: Cross multiply
    729.27x = 1,095.26 × 680.13
  4. Step 4: Simplify right side
    729.27x = 744,915.78
  5. Step 5: Solve for x
    x = 744,915.78/729.27
  6. Step 6: Final answer
    x = 1,021.45

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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.