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Finding the Fourth Proportional to 775.74, 1,163.61 and 313.44

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Solution

The fourth proportional to 775.74, 1,163.61 and 313.44 is: 470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,163.61 = 313.44 : x
  2. Step 2: Convert to fraction form
    775.74/1,163.61 = 313.44/x
  3. Step 3: Cross multiply
    775.74x = 1,163.61 × 313.44
  4. Step 4: Simplify right side
    775.74x = 364,721.92
  5. Step 5: Solve for x
    x = 364,721.92/775.74
  6. Step 6: Final answer
    x = 470.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.