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Finding the Fourth Proportional to 774.23, 1,161.59 and 254.21

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Solution

The fourth proportional to 774.23, 1,161.59 and 254.21 is: 381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.23 : 1,161.59 = 254.21 : x
  2. Step 2: Convert to fraction form
    774.23/1,161.59 = 254.21/x
  3. Step 3: Cross multiply
    774.23x = 1,161.59 × 254.21
  4. Step 4: Simplify right side
    774.23x = 295,282.14
  5. Step 5: Solve for x
    x = 295,282.14/774.23
  6. Step 6: Final answer
    x = 381.39

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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.