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Finding the Fourth Proportional to 781.94, 1,172.91 and 734.42

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Solution

The fourth proportional to 781.94, 1,172.91 and 734.42 is: 1,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.94 : 1,172.91 = 734.42 : x
  2. Step 2: Convert to fraction form
    781.94/1,172.91 = 734.42/x
  3. Step 3: Cross multiply
    781.94x = 1,172.91 × 734.42
  4. Step 4: Simplify right side
    781.94x = 861,408.56
  5. Step 5: Solve for x
    x = 861,408.56/781.94
  6. Step 6: Final answer
    x = 1,101.63

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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.