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Finding the Fourth Proportional to 709.44, 1,063.82 and 270.69

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Solution

The fourth proportional to 709.44, 1,063.82 and 270.69 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 1,063.82 = 270.69 : x
  2. Step 2: Convert to fraction form
    709.44/1,063.82 = 270.69/x
  3. Step 3: Cross multiply
    709.44x = 1,063.82 × 270.69
  4. Step 4: Simplify right side
    709.44x = 287,965.44
  5. Step 5: Solve for x
    x = 287,965.44/709.44
  6. Step 6: Final answer
    x = 405.91

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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.