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Finding the Fourth Proportional to 775.98, 1,162.35 and 682.83

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Solution

The fourth proportional to 775.98, 1,162.35 and 682.83 is: 1,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.98 : 1,162.35 = 682.83 : x
  2. Step 2: Convert to fraction form
    775.98/1,162.35 = 682.83/x
  3. Step 3: Cross multiply
    775.98x = 1,162.35 × 682.83
  4. Step 4: Simplify right side
    775.98x = 793,687.45
  5. Step 5: Solve for x
    x = 793,687.45/775.98
  6. Step 6: Final answer
    x = 1,022.82

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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.