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Finding the Fourth Proportional to 1,208.63, 1,667.97 and 684.83

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Solution

The fourth proportional to 1,208.63, 1,667.97 and 684.83 is: 945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.63 : 1,667.97 = 684.83 : x
  2. Step 2: Convert to fraction form
    1,208.63/1,667.97 = 684.83/x
  3. Step 3: Cross multiply
    1,208.63x = 1,667.97 × 684.83
  4. Step 4: Simplify right side
    1,208.63x = 1,142,267.56
  5. Step 5: Solve for x
    x = 1,142,267.56/1,208.63
  6. Step 6: Final answer
    x = 945.10

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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.