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Finding the Fourth Proportional to 775.41, 1,162.97 and 313.07

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Solution

The fourth proportional to 775.41, 1,162.97 and 313.07 is: 469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.41 : 1,162.97 = 313.07 : x
  2. Step 2: Convert to fraction form
    775.41/1,162.97 = 313.07/x
  3. Step 3: Cross multiply
    775.41x = 1,162.97 × 313.07
  4. Step 4: Simplify right side
    775.41x = 364,086.57
  5. Step 5: Solve for x
    x = 364,086.57/775.41
  6. Step 6: Final answer
    x = 469.54

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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.