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Finding the Fourth Proportional to 1,229.03, 1,843.83 and 407.24

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Solution

The fourth proportional to 1,229.03, 1,843.83 and 407.24 is: 610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.03 : 1,843.83 = 407.24 : x
  2. Step 2: Convert to fraction form
    1,229.03/1,843.83 = 407.24/x
  3. Step 3: Cross multiply
    1,229.03x = 1,843.83 × 407.24
  4. Step 4: Simplify right side
    1,229.03x = 750,881.33
  5. Step 5: Solve for x
    x = 750,881.33/1,229.03
  6. Step 6: Final answer
    x = 610.95

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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.