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Finding the Fourth Proportional to 890.89, 1,229.77 and 596.05

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Solution

The fourth proportional to 890.89, 1,229.77 and 596.05 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.89 : 1,229.77 = 596.05 : x
  2. Step 2: Convert to fraction form
    890.89/1,229.77 = 596.05/x
  3. Step 3: Cross multiply
    890.89x = 1,229.77 × 596.05
  4. Step 4: Simplify right side
    890.89x = 733,004.41
  5. Step 5: Solve for x
    x = 733,004.41/890.89
  6. Step 6: Final answer
    x = 822.78

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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.