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Finding the Fourth Proportional to 775.25, 1,163.21 and 364.35

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Solution

The fourth proportional to 775.25, 1,163.21 and 364.35 is: 546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.25 : 1,163.21 = 364.35 : x
  2. Step 2: Convert to fraction form
    775.25/1,163.21 = 364.35/x
  3. Step 3: Cross multiply
    775.25x = 1,163.21 × 364.35
  4. Step 4: Simplify right side
    775.25x = 423,815.56
  5. Step 5: Solve for x
    x = 423,815.56/775.25
  6. Step 6: Final answer
    x = 546.68

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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.