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Finding the Fourth Proportional to 844.02, 1,163.53 and 594.56

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Solution

The fourth proportional to 844.02, 1,163.53 and 594.56 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,163.53 = 594.56 : x
  2. Step 2: Convert to fraction form
    844.02/1,163.53 = 594.56/x
  3. Step 3: Cross multiply
    844.02x = 1,163.53 × 594.56
  4. Step 4: Simplify right side
    844.02x = 691,788.40
  5. Step 5: Solve for x
    x = 691,788.40/844.02
  6. Step 6: Final answer
    x = 819.64

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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.