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Finding the Fourth Proportional to 1,242, 1,861.62 and 754.92

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Solution

The fourth proportional to 1,242, 1,861.62 and 754.92 is: 1,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242 : 1,861.62 = 754.92 : x
  2. Step 2: Convert to fraction form
    1,242/1,861.62 = 754.92/x
  3. Step 3: Cross multiply
    1,242x = 1,861.62 × 754.92
  4. Step 4: Simplify right side
    1,242x = 1,405,374.17
  5. Step 5: Solve for x
    x = 1,405,374.17/1,242
  6. Step 6: Final answer
    x = 1,131.54

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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.