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Finding the Fourth Proportional to 755.80, 1,133.73 and 426.73

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Solution

The fourth proportional to 755.80, 1,133.73 and 426.73 is: 640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.80 : 1,133.73 = 426.73 : x
  2. Step 2: Convert to fraction form
    755.80/1,133.73 = 426.73/x
  3. Step 3: Cross multiply
    755.80x = 1,133.73 × 426.73
  4. Step 4: Simplify right side
    755.80x = 483,796.60
  5. Step 5: Solve for x
    x = 483,796.60/755.80
  6. Step 6: Final answer
    x = 640.11

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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.