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Finding the Fourth Proportional to 683.94, 943.57 and 447.82

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Solution

The fourth proportional to 683.94, 943.57 and 447.82 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.94 : 943.57 = 447.82 : x
  2. Step 2: Convert to fraction form
    683.94/943.57 = 447.82/x
  3. Step 3: Cross multiply
    683.94x = 943.57 × 447.82
  4. Step 4: Simplify right side
    683.94x = 422,546.04
  5. Step 5: Solve for x
    x = 422,546.04/683.94
  6. Step 6: Final answer
    x = 617.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.