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Finding the Fourth Proportional to 775.60, 1,163.64 and 288.88

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Solution

The fourth proportional to 775.60, 1,163.64 and 288.88 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.60 : 1,163.64 = 288.88 : x
  2. Step 2: Convert to fraction form
    775.60/1,163.64 = 288.88/x
  3. Step 3: Cross multiply
    775.60x = 1,163.64 × 288.88
  4. Step 4: Simplify right side
    775.60x = 336,152.32
  5. Step 5: Solve for x
    x = 336,152.32/775.60
  6. Step 6: Final answer
    x = 433.41

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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.