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Finding the Fourth Proportional to 1,241.28, 1,861.74 and 419.28

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Solution

The fourth proportional to 1,241.28, 1,861.74 and 419.28 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.28 : 1,861.74 = 419.28 : x
  2. Step 2: Convert to fraction form
    1,241.28/1,861.74 = 419.28/x
  3. Step 3: Cross multiply
    1,241.28x = 1,861.74 × 419.28
  4. Step 4: Simplify right side
    1,241.28x = 780,590.35
  5. Step 5: Solve for x
    x = 780,590.35/1,241.28
  6. Step 6: Final answer
    x = 628.86

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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.