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Finding the Fourth Proportional to 774.29, 1,163.06 and 677.09

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Solution

The fourth proportional to 774.29, 1,163.06 and 677.09 is: 1,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.29 : 1,163.06 = 677.09 : x
  2. Step 2: Convert to fraction form
    774.29/1,163.06 = 677.09/x
  3. Step 3: Cross multiply
    774.29x = 1,163.06 × 677.09
  4. Step 4: Simplify right side
    774.29x = 787,496.30
  5. Step 5: Solve for x
    x = 787,496.30/774.29
  6. Step 6: Final answer
    x = 1,017.06

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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.