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Finding the Fourth Proportional to 1,233.72, 1,849.92 and 411.78

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Solution

The fourth proportional to 1,233.72, 1,849.92 and 411.78 is: 617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.72 : 1,849.92 = 411.78 : x
  2. Step 2: Convert to fraction form
    1,233.72/1,849.92 = 411.78/x
  3. Step 3: Cross multiply
    1,233.72x = 1,849.92 × 411.78
  4. Step 4: Simplify right side
    1,233.72x = 761,760.06
  5. Step 5: Solve for x
    x = 761,760.06/1,233.72
  6. Step 6: Final answer
    x = 617.45

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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.