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Finding the Fourth Proportional to 729.75, 1,093.14 and 607.62

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Solution

The fourth proportional to 729.75, 1,093.14 and 607.62 is: 910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.75 : 1,093.14 = 607.62 : x
  2. Step 2: Convert to fraction form
    729.75/1,093.14 = 607.62/x
  3. Step 3: Cross multiply
    729.75x = 1,093.14 × 607.62
  4. Step 4: Simplify right side
    729.75x = 664,213.73
  5. Step 5: Solve for x
    x = 664,213.73/729.75
  6. Step 6: Final answer
    x = 910.19

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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.