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Finding the Fourth Proportional to 739.76, 1,020.44 and 540.33

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Solution

The fourth proportional to 739.76, 1,020.44 and 540.33 is: 745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.76 : 1,020.44 = 540.33 : x
  2. Step 2: Convert to fraction form
    739.76/1,020.44 = 540.33/x
  3. Step 3: Cross multiply
    739.76x = 1,020.44 × 540.33
  4. Step 4: Simplify right side
    739.76x = 551,371.64
  5. Step 5: Solve for x
    x = 551,371.64/739.76
  6. Step 6: Final answer
    x = 745.34

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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.