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Finding the Fourth Proportional to 1,179.45, 1,769.40 and 448.97

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Solution

The fourth proportional to 1,179.45, 1,769.40 and 448.97 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.45 : 1,769.40 = 448.97 : x
  2. Step 2: Convert to fraction form
    1,179.45/1,769.40 = 448.97/x
  3. Step 3: Cross multiply
    1,179.45x = 1,769.40 × 448.97
  4. Step 4: Simplify right side
    1,179.45x = 794,407.52
  5. Step 5: Solve for x
    x = 794,407.52/1,179.45
  6. Step 6: Final answer
    x = 673.54

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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.