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Finding the Fourth Proportional to 775.77, 1,163.66 and 390.57

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Solution

The fourth proportional to 775.77, 1,163.66 and 390.57 is: 585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.77 : 1,163.66 = 390.57 : x
  2. Step 2: Convert to fraction form
    775.77/1,163.66 = 390.57/x
  3. Step 3: Cross multiply
    775.77x = 1,163.66 × 390.57
  4. Step 4: Simplify right side
    775.77x = 454,488.73
  5. Step 5: Solve for x
    x = 454,488.73/775.77
  6. Step 6: Final answer
    x = 585.86

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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.