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Finding the Fourth Proportional to 1,233.22, 1,849.81 and 411.55

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Solution

The fourth proportional to 1,233.22, 1,849.81 and 411.55 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.22 : 1,849.81 = 411.55 : x
  2. Step 2: Convert to fraction form
    1,233.22/1,849.81 = 411.55/x
  3. Step 3: Cross multiply
    1,233.22x = 1,849.81 × 411.55
  4. Step 4: Simplify right side
    1,233.22x = 761,289.31
  5. Step 5: Solve for x
    x = 761,289.31/1,233.22
  6. Step 6: Final answer
    x = 617.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.