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Finding the Fourth Proportional to 846.29, 1,266.04 and 731.97

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Solution

The fourth proportional to 846.29, 1,266.04 and 731.97 is: 1,095.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.29 : 1,266.04 = 731.97 : x
  2. Step 2: Convert to fraction form
    846.29/1,266.04 = 731.97/x
  3. Step 3: Cross multiply
    846.29x = 1,266.04 × 731.97
  4. Step 4: Simplify right side
    846.29x = 926,704.21
  5. Step 5: Solve for x
    x = 926,704.21/846.29
  6. Step 6: Final answer
    x = 1,095.02

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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.