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Finding the Fourth Proportional to 781.44, 1,171.82 and 416.14

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Solution

The fourth proportional to 781.44, 1,171.82 and 416.14 is: 624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.44 : 1,171.82 = 416.14 : x
  2. Step 2: Convert to fraction form
    781.44/1,171.82 = 416.14/x
  3. Step 3: Cross multiply
    781.44x = 1,171.82 × 416.14
  4. Step 4: Simplify right side
    781.44x = 487,641.17
  5. Step 5: Solve for x
    x = 487,641.17/781.44
  6. Step 6: Final answer
    x = 624.03

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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.