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Finding the Fourth Proportional to 1,209.60, 1,668.67 and 1,043.75

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Solution

The fourth proportional to 1,209.60, 1,668.67 and 1,043.75 is: 1,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.60 : 1,668.67 = 1,043.75 : x
  2. Step 2: Convert to fraction form
    1,209.60/1,668.67 = 1,043.75/x
  3. Step 3: Cross multiply
    1,209.60x = 1,668.67 × 1,043.75
  4. Step 4: Simplify right side
    1,209.60x = 1,741,675.87
  5. Step 5: Solve for x
    x = 1,741,675.87/1,209.60
  6. Step 6: Final answer
    x = 1,439.88

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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.