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Finding the Fourth Proportional to 1,233.46, 1,849.27 and 746.39

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Solution

The fourth proportional to 1,233.46, 1,849.27 and 746.39 is: 1,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.46 : 1,849.27 = 746.39 : x
  2. Step 2: Convert to fraction form
    1,233.46/1,849.27 = 746.39/x
  3. Step 3: Cross multiply
    1,233.46x = 1,849.27 × 746.39
  4. Step 4: Simplify right side
    1,233.46x = 1,380,272.90
  5. Step 5: Solve for x
    x = 1,380,272.90/1,233.46
  6. Step 6: Final answer
    x = 1,119.03

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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.