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Finding the Fourth Proportional to 1,229.05, 1,843.54 and 406.99

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Solution

The fourth proportional to 1,229.05, 1,843.54 and 406.99 is: 610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.05 : 1,843.54 = 406.99 : x
  2. Step 2: Convert to fraction form
    1,229.05/1,843.54 = 406.99/x
  3. Step 3: Cross multiply
    1,229.05x = 1,843.54 × 406.99
  4. Step 4: Simplify right side
    1,229.05x = 750,302.34
  5. Step 5: Solve for x
    x = 750,302.34/1,229.05
  6. Step 6: Final answer
    x = 610.47

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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.