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Finding the Fourth Proportional to 609.54, 844.49 and 596.58

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Solution

The fourth proportional to 609.54, 844.49 and 596.58 is: 826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 844.49 = 596.58 : x
  2. Step 2: Convert to fraction form
    609.54/844.49 = 596.58/x
  3. Step 3: Cross multiply
    609.54x = 844.49 × 596.58
  4. Step 4: Simplify right side
    609.54x = 503,802.86
  5. Step 5: Solve for x
    x = 503,802.86/609.54
  6. Step 6: Final answer
    x = 826.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.