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Finding the Fourth Proportional to 743.28, 1,025.70 and 481.56

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Solution

The fourth proportional to 743.28, 1,025.70 and 481.56 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.28 : 1,025.70 = 481.56 : x
  2. Step 2: Convert to fraction form
    743.28/1,025.70 = 481.56/x
  3. Step 3: Cross multiply
    743.28x = 1,025.70 × 481.56
  4. Step 4: Simplify right side
    743.28x = 493,936.09
  5. Step 5: Solve for x
    x = 493,936.09/743.28
  6. Step 6: Final answer
    x = 664.54

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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.