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Finding the Fourth Proportional to 844.85, 1,165.90 and 596.60

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Solution

The fourth proportional to 844.85, 1,165.90 and 596.60 is: 823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.85 : 1,165.90 = 596.60 : x
  2. Step 2: Convert to fraction form
    844.85/1,165.90 = 596.60/x
  3. Step 3: Cross multiply
    844.85x = 1,165.90 × 596.60
  4. Step 4: Simplify right side
    844.85x = 695,577.36
  5. Step 5: Solve for x
    x = 695,577.36/844.85
  6. Step 6: Final answer
    x = 823.31

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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.