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Finding the Fourth Proportional to 756.26, 1,134.41 and 269.20

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Solution

The fourth proportional to 756.26, 1,134.41 and 269.20 is: 403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.26 : 1,134.41 = 269.20 : x
  2. Step 2: Convert to fraction form
    756.26/1,134.41 = 269.20/x
  3. Step 3: Cross multiply
    756.26x = 1,134.41 × 269.20
  4. Step 4: Simplify right side
    756.26x = 305,383.17
  5. Step 5: Solve for x
    x = 305,383.17/756.26
  6. Step 6: Final answer
    x = 403.81

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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.