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Finding the Fourth Proportional to 775.64, 1,163.42 and 255.58

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Solution

The fourth proportional to 775.64, 1,163.42 and 255.58 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,163.42 = 255.58 : x
  2. Step 2: Convert to fraction form
    775.64/1,163.42 = 255.58/x
  3. Step 3: Cross multiply
    775.64x = 1,163.42 × 255.58
  4. Step 4: Simplify right side
    775.64x = 297,344.61
  5. Step 5: Solve for x
    x = 297,344.61/775.64
  6. Step 6: Final answer
    x = 383.35

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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.