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Finding the Fourth Proportional to 774.34, 1,161.81 and 287.44

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Solution

The fourth proportional to 774.34, 1,161.81 and 287.44 is: 431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,161.81 = 287.44 : x
  2. Step 2: Convert to fraction form
    774.34/1,161.81 = 287.44/x
  3. Step 3: Cross multiply
    774.34x = 1,161.81 × 287.44
  4. Step 4: Simplify right side
    774.34x = 333,950.67
  5. Step 5: Solve for x
    x = 333,950.67/774.34
  6. Step 6: Final answer
    x = 431.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.