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Finding the Fourth Proportional to 757.40, 1,135.42 and 270.34

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Solution

The fourth proportional to 757.40, 1,135.42 and 270.34 is: 405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.40 : 1,135.42 = 270.34 : x
  2. Step 2: Convert to fraction form
    757.40/1,135.42 = 270.34/x
  3. Step 3: Cross multiply
    757.40x = 1,135.42 × 270.34
  4. Step 4: Simplify right side
    757.40x = 306,949.12
  5. Step 5: Solve for x
    x = 306,949.12/757.40
  6. Step 6: Final answer
    x = 405.27

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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.