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Finding the Fourth Proportional to 775.16, 1,162.52 and 255.07

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Solution

The fourth proportional to 775.16, 1,162.52 and 255.07 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,162.52 = 255.07 : x
  2. Step 2: Convert to fraction form
    775.16/1,162.52 = 255.07/x
  3. Step 3: Cross multiply
    775.16x = 1,162.52 × 255.07
  4. Step 4: Simplify right side
    775.16x = 296,522.45
  5. Step 5: Solve for x
    x = 296,522.45/775.16
  6. Step 6: Final answer
    x = 382.53

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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.