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Finding the Fourth Proportional to 890.20, 1,224.66 and 849.88

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Solution

The fourth proportional to 890.20, 1,224.66 and 849.88 is: 1,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.20 : 1,224.66 = 849.88 : x
  2. Step 2: Convert to fraction form
    890.20/1,224.66 = 849.88/x
  3. Step 3: Cross multiply
    890.20x = 1,224.66 × 849.88
  4. Step 4: Simplify right side
    890.20x = 1,040,814.04
  5. Step 5: Solve for x
    x = 1,040,814.04/890.20
  6. Step 6: Final answer
    x = 1,169.19

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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.