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Finding the Fourth Proportional to 1,779.72, 2,669.49 and 481.20

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Solution

The fourth proportional to 1,779.72, 2,669.49 and 481.20 is: 721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.72 : 2,669.49 = 481.20 : x
  2. Step 2: Convert to fraction form
    1,779.72/2,669.49 = 481.20/x
  3. Step 3: Cross multiply
    1,779.72x = 2,669.49 × 481.20
  4. Step 4: Simplify right side
    1,779.72x = 1,284,558.59
  5. Step 5: Solve for x
    x = 1,284,558.59/1,779.72
  6. Step 6: Final answer
    x = 721.78

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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.