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Finding the Fourth Proportional to 775.54, 1,163.46 and 342.70

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Solution

The fourth proportional to 775.54, 1,163.46 and 342.70 is: 514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.54 : 1,163.46 = 342.70 : x
  2. Step 2: Convert to fraction form
    775.54/1,163.46 = 342.70/x
  3. Step 3: Cross multiply
    775.54x = 1,163.46 × 342.70
  4. Step 4: Simplify right side
    775.54x = 398,710.21
  5. Step 5: Solve for x
    x = 398,710.21/775.54
  6. Step 6: Final answer
    x = 514.11

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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.