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Finding the Fourth Proportional to 742.90, 1,025.40 and 481.09

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Solution

The fourth proportional to 742.90, 1,025.40 and 481.09 is: 664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.90 : 1,025.40 = 481.09 : x
  2. Step 2: Convert to fraction form
    742.90/1,025.40 = 481.09/x
  3. Step 3: Cross multiply
    742.90x = 1,025.40 × 481.09
  4. Step 4: Simplify right side
    742.90x = 493,309.69
  5. Step 5: Solve for x
    x = 493,309.69/742.90
  6. Step 6: Final answer
    x = 664.03

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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.