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Finding the Fourth Proportional to 755.22, 1,130.43 and 408.06

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Solution

The fourth proportional to 755.22, 1,130.43 and 408.06 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.22 : 1,130.43 = 408.06 : x
  2. Step 2: Convert to fraction form
    755.22/1,130.43 = 408.06/x
  3. Step 3: Cross multiply
    755.22x = 1,130.43 × 408.06
  4. Step 4: Simplify right side
    755.22x = 461,283.27
  5. Step 5: Solve for x
    x = 461,283.27/755.22
  6. Step 6: Final answer
    x = 610.79

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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.