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Finding the Fourth Proportional to 776.52, 1,163.19 and 579.25

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Solution

The fourth proportional to 776.52, 1,163.19 and 579.25 is: 867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.52 : 1,163.19 = 579.25 : x
  2. Step 2: Convert to fraction form
    776.52/1,163.19 = 579.25/x
  3. Step 3: Cross multiply
    776.52x = 1,163.19 × 579.25
  4. Step 4: Simplify right side
    776.52x = 673,781.43
  5. Step 5: Solve for x
    x = 673,781.43/776.52
  6. Step 6: Final answer
    x = 867.69

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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.