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Finding the Fourth Proportional to 1,233.22, 1,849.80 and 411.56

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Solution

The fourth proportional to 1,233.22, 1,849.80 and 411.56 is: 617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.22 : 1,849.80 = 411.56 : x
  2. Step 2: Convert to fraction form
    1,233.22/1,849.80 = 411.56/x
  3. Step 3: Cross multiply
    1,233.22x = 1,849.80 × 411.56
  4. Step 4: Simplify right side
    1,233.22x = 761,303.69
  5. Step 5: Solve for x
    x = 761,303.69/1,233.22
  6. Step 6: Final answer
    x = 617.33

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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.