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Finding the Fourth Proportional to 844.51, 1,165.17 and 495.13

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Solution

The fourth proportional to 844.51, 1,165.17 and 495.13 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.51 : 1,165.17 = 495.13 : x
  2. Step 2: Convert to fraction form
    844.51/1,165.17 = 495.13/x
  3. Step 3: Cross multiply
    844.51x = 1,165.17 × 495.13
  4. Step 4: Simplify right side
    844.51x = 576,910.62
  5. Step 5: Solve for x
    x = 576,910.62/844.51
  6. Step 6: Final answer
    x = 683.13

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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.