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Finding the Fourth Proportional to 1,209.43, 1,667.67 and 789.63

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Solution

The fourth proportional to 1,209.43, 1,667.67 and 789.63 is: 1,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.43 : 1,667.67 = 789.63 : x
  2. Step 2: Convert to fraction form
    1,209.43/1,667.67 = 789.63/x
  3. Step 3: Cross multiply
    1,209.43x = 1,667.67 × 789.63
  4. Step 4: Simplify right side
    1,209.43x = 1,316,838.91
  5. Step 5: Solve for x
    x = 1,316,838.91/1,209.43
  6. Step 6: Final answer
    x = 1,088.81

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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.