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Finding the Fourth Proportional to 1,231.91, 1,846.04 and 743.78

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Solution

The fourth proportional to 1,231.91, 1,846.04 and 743.78 is: 1,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.91 : 1,846.04 = 743.78 : x
  2. Step 2: Convert to fraction form
    1,231.91/1,846.04 = 743.78/x
  3. Step 3: Cross multiply
    1,231.91x = 1,846.04 × 743.78
  4. Step 4: Simplify right side
    1,231.91x = 1,373,052.71
  5. Step 5: Solve for x
    x = 1,373,052.71/1,231.91
  6. Step 6: Final answer
    x = 1,114.57

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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.