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Finding the Fourth Proportional to 844.65, 1,165.44 and 495.15

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Solution

The fourth proportional to 844.65, 1,165.44 and 495.15 is: 683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.65 : 1,165.44 = 495.15 : x
  2. Step 2: Convert to fraction form
    844.65/1,165.44 = 495.15/x
  3. Step 3: Cross multiply
    844.65x = 1,165.44 × 495.15
  4. Step 4: Simplify right side
    844.65x = 577,067.62
  5. Step 5: Solve for x
    x = 577,067.62/844.65
  6. Step 6: Final answer
    x = 683.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.