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Finding the Fourth Proportional to 1,179.26, 1,769.76 and 439.55

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Solution

The fourth proportional to 1,179.26, 1,769.76 and 439.55 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.26 : 1,769.76 = 439.55 : x
  2. Step 2: Convert to fraction form
    1,179.26/1,769.76 = 439.55/x
  3. Step 3: Cross multiply
    1,179.26x = 1,769.76 × 439.55
  4. Step 4: Simplify right side
    1,179.26x = 777,889.16
  5. Step 5: Solve for x
    x = 777,889.16/1,179.26
  6. Step 6: Final answer
    x = 659.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.