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Finding the Fourth Proportional to 890.88, 1,229.77 and 596.04

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Solution

The fourth proportional to 890.88, 1,229.77 and 596.04 is: 822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.88 : 1,229.77 = 596.04 : x
  2. Step 2: Convert to fraction form
    890.88/1,229.77 = 596.04/x
  3. Step 3: Cross multiply
    890.88x = 1,229.77 × 596.04
  4. Step 4: Simplify right side
    890.88x = 732,991.81
  5. Step 5: Solve for x
    x = 732,991.81/890.88
  6. Step 6: Final answer
    x = 822.77

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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.