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Finding the Fourth Proportional to 766.82, 1,050.83 and 693.00

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Solution

The fourth proportional to 766.82, 1,050.83 and 693.00 is: 949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.82 : 1,050.83 = 693.00 : x
  2. Step 2: Convert to fraction form
    766.82/1,050.83 = 693.00/x
  3. Step 3: Cross multiply
    766.82x = 1,050.83 × 693.00
  4. Step 4: Simplify right side
    766.82x = 728,230.86
  5. Step 5: Solve for x
    x = 728,230.86/766.82
  6. Step 6: Final answer
    x = 949.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.