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Finding the Fourth Proportional to 844.49, 1,165.73 and 596.23

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Solution

The fourth proportional to 844.49, 1,165.73 and 596.23 is: 823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.49 : 1,165.73 = 596.23 : x
  2. Step 2: Convert to fraction form
    844.49/1,165.73 = 596.23/x
  3. Step 3: Cross multiply
    844.49x = 1,165.73 × 596.23
  4. Step 4: Simplify right side
    844.49x = 695,037.30
  5. Step 5: Solve for x
    x = 695,037.30/844.49
  6. Step 6: Final answer
    x = 823.02

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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.