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Finding the Fourth Proportional to 1,228.61, 1,843.07 and 406.71

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Solution

The fourth proportional to 1,228.61, 1,843.07 and 406.71 is: 610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.61 : 1,843.07 = 406.71 : x
  2. Step 2: Convert to fraction form
    1,228.61/1,843.07 = 406.71/x
  3. Step 3: Cross multiply
    1,228.61x = 1,843.07 × 406.71
  4. Step 4: Simplify right side
    1,228.61x = 749,592.97
  5. Step 5: Solve for x
    x = 749,592.97/1,228.61
  6. Step 6: Final answer
    x = 610.11

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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.