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Finding the Fourth Proportional to 1,204.09, 1,806.13 and 423.91

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Solution

The fourth proportional to 1,204.09, 1,806.13 and 423.91 is: 635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.09 : 1,806.13 = 423.91 : x
  2. Step 2: Convert to fraction form
    1,204.09/1,806.13 = 423.91/x
  3. Step 3: Cross multiply
    1,204.09x = 1,806.13 × 423.91
  4. Step 4: Simplify right side
    1,204.09x = 765,625.42
  5. Step 5: Solve for x
    x = 765,625.42/1,204.09
  6. Step 6: Final answer
    x = 635.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.