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Finding the Fourth Proportional to 755.14, 1,133.02 and 268.23

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Solution

The fourth proportional to 755.14, 1,133.02 and 268.23 is: 402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.14 : 1,133.02 = 268.23 : x
  2. Step 2: Convert to fraction form
    755.14/1,133.02 = 268.23/x
  3. Step 3: Cross multiply
    755.14x = 1,133.02 × 268.23
  4. Step 4: Simplify right side
    755.14x = 303,909.95
  5. Step 5: Solve for x
    x = 303,909.95/755.14
  6. Step 6: Final answer
    x = 402.46

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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.