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Finding the Fourth Proportional to 844.27, 1,266.83 and 569.76

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Solution

The fourth proportional to 844.27, 1,266.83 and 569.76 is: 854.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.27 : 1,266.83 = 569.76 : x
  2. Step 2: Convert to fraction form
    844.27/1,266.83 = 569.76/x
  3. Step 3: Cross multiply
    844.27x = 1,266.83 × 569.76
  4. Step 4: Simplify right side
    844.27x = 721,786.36
  5. Step 5: Solve for x
    x = 721,786.36/844.27
  6. Step 6: Final answer
    x = 854.92

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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.