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Finding the Fourth Proportional to 755.37, 1,132.14 and 664.25

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Solution

The fourth proportional to 755.37, 1,132.14 and 664.25 is: 995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.37 : 1,132.14 = 664.25 : x
  2. Step 2: Convert to fraction form
    755.37/1,132.14 = 664.25/x
  3. Step 3: Cross multiply
    755.37x = 1,132.14 × 664.25
  4. Step 4: Simplify right side
    755.37x = 752,018.33
  5. Step 5: Solve for x
    x = 752,018.33/755.37
  6. Step 6: Final answer
    x = 995.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.