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Finding the Fourth Proportional to 775.94, 1,163.91 and 343.10

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Solution

The fourth proportional to 775.94, 1,163.91 and 343.10 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.94 : 1,163.91 = 343.10 : x
  2. Step 2: Convert to fraction form
    775.94/1,163.91 = 343.10/x
  3. Step 3: Cross multiply
    775.94x = 1,163.91 × 343.10
  4. Step 4: Simplify right side
    775.94x = 399,337.52
  5. Step 5: Solve for x
    x = 399,337.52/775.94
  6. Step 6: Final answer
    x = 514.65

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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.