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Finding the Fourth Proportional to 1,208.34, 1,667.78 and 684.68

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Solution

The fourth proportional to 1,208.34, 1,667.78 and 684.68 is: 945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,667.78 = 684.68 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,667.78 = 684.68/x
  3. Step 3: Cross multiply
    1,208.34x = 1,667.78 × 684.68
  4. Step 4: Simplify right side
    1,208.34x = 1,141,895.61
  5. Step 5: Solve for x
    x = 1,141,895.61/1,208.34
  6. Step 6: Final answer
    x = 945.01

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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.