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Finding the Fourth Proportional to 775.64, 1,163.82 and 486.92

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Solution

The fourth proportional to 775.64, 1,163.82 and 486.92 is: 730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,163.82 = 486.92 : x
  2. Step 2: Convert to fraction form
    775.64/1,163.82 = 486.92/x
  3. Step 3: Cross multiply
    775.64x = 1,163.82 × 486.92
  4. Step 4: Simplify right side
    775.64x = 566,687.23
  5. Step 5: Solve for x
    x = 566,687.23/775.64
  6. Step 6: Final answer
    x = 730.61

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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.