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Finding the Fourth Proportional to 1,224.34, 1,836.81 and 574.31

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Solution

The fourth proportional to 1,224.34, 1,836.81 and 574.31 is: 861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.34 : 1,836.81 = 574.31 : x
  2. Step 2: Convert to fraction form
    1,224.34/1,836.81 = 574.31/x
  3. Step 3: Cross multiply
    1,224.34x = 1,836.81 × 574.31
  4. Step 4: Simplify right side
    1,224.34x = 1,054,902.94
  5. Step 5: Solve for x
    x = 1,054,902.94/1,224.34
  6. Step 6: Final answer
    x = 861.61

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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.