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Finding the Fourth Proportional to 890.24, 1,227.29 and 558.44

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Solution

The fourth proportional to 890.24, 1,227.29 and 558.44 is: 769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.24 : 1,227.29 = 558.44 : x
  2. Step 2: Convert to fraction form
    890.24/1,227.29 = 558.44/x
  3. Step 3: Cross multiply
    890.24x = 1,227.29 × 558.44
  4. Step 4: Simplify right side
    890.24x = 685,367.83
  5. Step 5: Solve for x
    x = 685,367.83/890.24
  6. Step 6: Final answer
    x = 769.87

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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.