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Finding the Fourth Proportional to 775.11, 1,162.15 and 254.93

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Solution

The fourth proportional to 775.11, 1,162.15 and 254.93 is: 382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.11 : 1,162.15 = 254.93 : x
  2. Step 2: Convert to fraction form
    775.11/1,162.15 = 254.93/x
  3. Step 3: Cross multiply
    775.11x = 1,162.15 × 254.93
  4. Step 4: Simplify right side
    775.11x = 296,266.90
  5. Step 5: Solve for x
    x = 296,266.90/775.11
  6. Step 6: Final answer
    x = 382.23

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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.