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Finding the Fourth Proportional to 1,208.44, 1,667.75 and 684.44

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Solution

The fourth proportional to 1,208.44, 1,667.75 and 684.44 is: 944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.44 : 1,667.75 = 684.44 : x
  2. Step 2: Convert to fraction form
    1,208.44/1,667.75 = 684.44/x
  3. Step 3: Cross multiply
    1,208.44x = 1,667.75 × 684.44
  4. Step 4: Simplify right side
    1,208.44x = 1,141,474.81
  5. Step 5: Solve for x
    x = 1,141,474.81/1,208.44
  6. Step 6: Final answer
    x = 944.59

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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.