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Finding the Fourth Proportional to 755.09, 1,132.65 and 268.14

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Solution

The fourth proportional to 755.09, 1,132.65 and 268.14 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.09 : 1,132.65 = 268.14 : x
  2. Step 2: Convert to fraction form
    755.09/1,132.65 = 268.14/x
  3. Step 3: Cross multiply
    755.09x = 1,132.65 × 268.14
  4. Step 4: Simplify right side
    755.09x = 303,713.02
  5. Step 5: Solve for x
    x = 303,713.02/755.09
  6. Step 6: Final answer
    x = 402.22

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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.