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Finding the Fourth Proportional to 773.43, 1,166.06 and 720.57

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Solution

The fourth proportional to 773.43, 1,166.06 and 720.57 is: 1,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.43 : 1,166.06 = 720.57 : x
  2. Step 2: Convert to fraction form
    773.43/1,166.06 = 720.57/x
  3. Step 3: Cross multiply
    773.43x = 1,166.06 × 720.57
  4. Step 4: Simplify right side
    773.43x = 840,227.85
  5. Step 5: Solve for x
    x = 840,227.85/773.43
  6. Step 6: Final answer
    x = 1,086.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.