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Finding the Fourth Proportional to 775.78, 1,163.53 and 313.54

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Solution

The fourth proportional to 775.78, 1,163.53 and 313.54 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.78 : 1,163.53 = 313.54 : x
  2. Step 2: Convert to fraction form
    775.78/1,163.53 = 313.54/x
  3. Step 3: Cross multiply
    775.78x = 1,163.53 × 313.54
  4. Step 4: Simplify right side
    775.78x = 364,813.20
  5. Step 5: Solve for x
    x = 364,813.20/775.78
  6. Step 6: Final answer
    x = 470.25

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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.