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Finding the Fourth Proportional to 775.35, 1,163.64 and 684.23

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Solution

The fourth proportional to 775.35, 1,163.64 and 684.23 is: 1,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.35 : 1,163.64 = 684.23 : x
  2. Step 2: Convert to fraction form
    775.35/1,163.64 = 684.23/x
  3. Step 3: Cross multiply
    775.35x = 1,163.64 × 684.23
  4. Step 4: Simplify right side
    775.35x = 796,193.98
  5. Step 5: Solve for x
    x = 796,193.98/775.35
  6. Step 6: Final answer
    x = 1,026.88

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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.