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Finding the Fourth Proportional to 758.97, 1,138.52 and 272.03

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Solution

The fourth proportional to 758.97, 1,138.52 and 272.03 is: 408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.97 : 1,138.52 = 272.03 : x
  2. Step 2: Convert to fraction form
    758.97/1,138.52 = 272.03/x
  3. Step 3: Cross multiply
    758.97x = 1,138.52 × 272.03
  4. Step 4: Simplify right side
    758.97x = 309,706.58
  5. Step 5: Solve for x
    x = 309,706.58/758.97
  6. Step 6: Final answer
    x = 408.06

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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.