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Finding the Fourth Proportional to 775.46, 1,163.19 and 342.53

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Solution

The fourth proportional to 775.46, 1,163.19 and 342.53 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,163.19 = 342.53 : x
  2. Step 2: Convert to fraction form
    775.46/1,163.19 = 342.53/x
  3. Step 3: Cross multiply
    775.46x = 1,163.19 × 342.53
  4. Step 4: Simplify right side
    775.46x = 398,427.47
  5. Step 5: Solve for x
    x = 398,427.47/775.46
  6. Step 6: Final answer
    x = 513.80

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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.