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Finding the Fourth Proportional to 755.40, 1,133.05 and 268.39

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Solution

The fourth proportional to 755.40, 1,133.05 and 268.39 is: 402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.40 : 1,133.05 = 268.39 : x
  2. Step 2: Convert to fraction form
    755.40/1,133.05 = 268.39/x
  3. Step 3: Cross multiply
    755.40x = 1,133.05 × 268.39
  4. Step 4: Simplify right side
    755.40x = 304,099.29
  5. Step 5: Solve for x
    x = 304,099.29/755.40
  6. Step 6: Final answer
    x = 402.57

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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.