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Finding the Fourth Proportional to 844.11, 1,264.14 and 774.86

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Solution

The fourth proportional to 844.11, 1,264.14 and 774.86 is: 1,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.11 : 1,264.14 = 774.86 : x
  2. Step 2: Convert to fraction form
    844.11/1,264.14 = 774.86/x
  3. Step 3: Cross multiply
    844.11x = 1,264.14 × 774.86
  4. Step 4: Simplify right side
    844.11x = 979,525.20
  5. Step 5: Solve for x
    x = 979,525.20/844.11
  6. Step 6: Final answer
    x = 1,160.42

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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.