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Finding the Fourth Proportional to 774.41, 1,161.20 and 581.63

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Solution

The fourth proportional to 774.41, 1,161.20 and 581.63 is: 872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.41 : 1,161.20 = 581.63 : x
  2. Step 2: Convert to fraction form
    774.41/1,161.20 = 581.63/x
  3. Step 3: Cross multiply
    774.41x = 1,161.20 × 581.63
  4. Step 4: Simplify right side
    774.41x = 675,380.04
  5. Step 5: Solve for x
    x = 675,380.04/774.41
  6. Step 6: Final answer
    x = 872.13

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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.