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Finding the Fourth Proportional to 843.73, 1,266.72 and 721.12

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Solution

The fourth proportional to 843.73, 1,266.72 and 721.12 is: 1,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.73 : 1,266.72 = 721.12 : x
  2. Step 2: Convert to fraction form
    843.73/1,266.72 = 721.12/x
  3. Step 3: Cross multiply
    843.73x = 1,266.72 × 721.12
  4. Step 4: Simplify right side
    843.73x = 913,457.69
  5. Step 5: Solve for x
    x = 913,457.69/843.73
  6. Step 6: Final answer
    x = 1,082.64

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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.