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Finding the Fourth Proportional to 1,179.83, 1,769.75 and 439.60

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Solution

The fourth proportional to 1,179.83, 1,769.75 and 439.60 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.83 : 1,769.75 = 439.60 : x
  2. Step 2: Convert to fraction form
    1,179.83/1,769.75 = 439.60/x
  3. Step 3: Cross multiply
    1,179.83x = 1,769.75 × 439.60
  4. Step 4: Simplify right side
    1,179.83x = 777,984.19
  5. Step 5: Solve for x
    x = 777,984.19/1,179.83
  6. Step 6: Final answer
    x = 659.41

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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.