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Finding the Fourth Proportional to 774.32, 1,161.32 and 449.44

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Solution

The fourth proportional to 774.32, 1,161.32 and 449.44 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.32 : 1,161.32 = 449.44 : x
  2. Step 2: Convert to fraction form
    774.32/1,161.32 = 449.44/x
  3. Step 3: Cross multiply
    774.32x = 1,161.32 × 449.44
  4. Step 4: Simplify right side
    774.32x = 521,943.66
  5. Step 5: Solve for x
    x = 521,943.66/774.32
  6. Step 6: Final answer
    x = 674.07

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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.