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Finding the Fourth Proportional to 1,241.72, 1,862.27 and 419.97

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Solution

The fourth proportional to 1,241.72, 1,862.27 and 419.97 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.72 : 1,862.27 = 419.97 : x
  2. Step 2: Convert to fraction form
    1,241.72/1,862.27 = 419.97/x
  3. Step 3: Cross multiply
    1,241.72x = 1,862.27 × 419.97
  4. Step 4: Simplify right side
    1,241.72x = 782,095.43
  5. Step 5: Solve for x
    x = 782,095.43/1,241.72
  6. Step 6: Final answer
    x = 629.85

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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.