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Finding the Fourth Proportional to 774.67, 1,161.33 and 287.73

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Solution

The fourth proportional to 774.67, 1,161.33 and 287.73 is: 431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.67 : 1,161.33 = 287.73 : x
  2. Step 2: Convert to fraction form
    774.67/1,161.33 = 287.73/x
  3. Step 3: Cross multiply
    774.67x = 1,161.33 × 287.73
  4. Step 4: Simplify right side
    774.67x = 334,148.04
  5. Step 5: Solve for x
    x = 334,148.04/774.67
  6. Step 6: Final answer
    x = 431.34

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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.