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Finding the Fourth Proportional to 844.28, 1,259.26 and 796.76

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Solution

The fourth proportional to 844.28, 1,259.26 and 796.76 is: 1,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.28 : 1,259.26 = 796.76 : x
  2. Step 2: Convert to fraction form
    844.28/1,259.26 = 796.76/x
  3. Step 3: Cross multiply
    844.28x = 1,259.26 × 796.76
  4. Step 4: Simplify right side
    844.28x = 1,003,328.00
  5. Step 5: Solve for x
    x = 1,003,328.00/844.28
  6. Step 6: Final answer
    x = 1,188.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.