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Finding the Fourth Proportional to 757.07, 1,135.82 and 270.13

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Solution

The fourth proportional to 757.07, 1,135.82 and 270.13 is: 405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.07 : 1,135.82 = 270.13 : x
  2. Step 2: Convert to fraction form
    757.07/1,135.82 = 270.13/x
  3. Step 3: Cross multiply
    757.07x = 1,135.82 × 270.13
  4. Step 4: Simplify right side
    757.07x = 306,812.03
  5. Step 5: Solve for x
    x = 306,812.03/757.07
  6. Step 6: Final answer
    x = 405.26

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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.