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Finding the Fourth Proportional to 755.22, 1,131.87 and 657.31

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Solution

The fourth proportional to 755.22, 1,131.87 and 657.31 is: 985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.22 : 1,131.87 = 657.31 : x
  2. Step 2: Convert to fraction form
    755.22/1,131.87 = 657.31/x
  3. Step 3: Cross multiply
    755.22x = 1,131.87 × 657.31
  4. Step 4: Simplify right side
    755.22x = 743,989.47
  5. Step 5: Solve for x
    x = 743,989.47/755.22
  6. Step 6: Final answer
    x = 985.13

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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.