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Finding the Fourth Proportional to 1,241.26, 1,861.62 and 471.76

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Solution

The fourth proportional to 1,241.26, 1,861.62 and 471.76 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.26 : 1,861.62 = 471.76 : x
  2. Step 2: Convert to fraction form
    1,241.26/1,861.62 = 471.76/x
  3. Step 3: Cross multiply
    1,241.26x = 1,861.62 × 471.76
  4. Step 4: Simplify right side
    1,241.26x = 878,237.85
  5. Step 5: Solve for x
    x = 878,237.85/1,241.26
  6. Step 6: Final answer
    x = 707.54

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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.