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Finding the Fourth Proportional to 790.14, 1,086.67 and 691.73

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Solution

The fourth proportional to 790.14, 1,086.67 and 691.73 is: 951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.14 : 1,086.67 = 691.73 : x
  2. Step 2: Convert to fraction form
    790.14/1,086.67 = 691.73/x
  3. Step 3: Cross multiply
    790.14x = 1,086.67 × 691.73
  4. Step 4: Simplify right side
    790.14x = 751,682.24
  5. Step 5: Solve for x
    x = 751,682.24/790.14
  6. Step 6: Final answer
    x = 951.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.