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Finding the Fourth Proportional to 781.74, 1,172.22 and 416.43

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Solution

The fourth proportional to 781.74, 1,172.22 and 416.43 is: 624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.74 : 1,172.22 = 416.43 : x
  2. Step 2: Convert to fraction form
    781.74/1,172.22 = 416.43/x
  3. Step 3: Cross multiply
    781.74x = 1,172.22 × 416.43
  4. Step 4: Simplify right side
    781.74x = 488,147.57
  5. Step 5: Solve for x
    x = 488,147.57/781.74
  6. Step 6: Final answer
    x = 624.44

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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.