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Finding the Fourth Proportional to 775.35, 1,162.86 and 227.58

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Solution

The fourth proportional to 775.35, 1,162.86 and 227.58 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.35 : 1,162.86 = 227.58 : x
  2. Step 2: Convert to fraction form
    775.35/1,162.86 = 227.58/x
  3. Step 3: Cross multiply
    775.35x = 1,162.86 × 227.58
  4. Step 4: Simplify right side
    775.35x = 264,642.83
  5. Step 5: Solve for x
    x = 264,642.83/775.35
  6. Step 6: Final answer
    x = 341.32

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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.