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Finding the Fourth Proportional to 775.67, 1,162.76 and 313.37

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Solution

The fourth proportional to 775.67, 1,162.76 and 313.37 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.67 : 1,162.76 = 313.37 : x
  2. Step 2: Convert to fraction form
    775.67/1,162.76 = 313.37/x
  3. Step 3: Cross multiply
    775.67x = 1,162.76 × 313.37
  4. Step 4: Simplify right side
    775.67x = 364,366.72
  5. Step 5: Solve for x
    x = 364,366.72/775.67
  6. Step 6: Final answer
    x = 469.75

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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.