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Finding the Fourth Proportional to 844.26, 1,164.31 and 529.44

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Solution

The fourth proportional to 844.26, 1,164.31 and 529.44 is: 730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.26 : 1,164.31 = 529.44 : x
  2. Step 2: Convert to fraction form
    844.26/1,164.31 = 529.44/x
  3. Step 3: Cross multiply
    844.26x = 1,164.31 × 529.44
  4. Step 4: Simplify right side
    844.26x = 616,426.60
  5. Step 5: Solve for x
    x = 616,426.60/844.26
  6. Step 6: Final answer
    x = 730.14

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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.