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Finding the Fourth Proportional to 844.29, 1,164.92 and 494.91

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Solution

The fourth proportional to 844.29, 1,164.92 and 494.91 is: 682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.29 : 1,164.92 = 494.91 : x
  2. Step 2: Convert to fraction form
    844.29/1,164.92 = 494.91/x
  3. Step 3: Cross multiply
    844.29x = 1,164.92 × 494.91
  4. Step 4: Simplify right side
    844.29x = 576,528.08
  5. Step 5: Solve for x
    x = 576,528.08/844.29
  6. Step 6: Final answer
    x = 682.86

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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.