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Finding the Fourth Proportional to 844.42, 1,165.21 and 495.31

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Solution

The fourth proportional to 844.42, 1,165.21 and 495.31 is: 683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.42 : 1,165.21 = 495.31 : x
  2. Step 2: Convert to fraction form
    844.42/1,165.21 = 495.31/x
  3. Step 3: Cross multiply
    844.42x = 1,165.21 × 495.31
  4. Step 4: Simplify right side
    844.42x = 577,140.17
  5. Step 5: Solve for x
    x = 577,140.17/844.42
  6. Step 6: Final answer
    x = 683.48

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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.