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Finding the Fourth Proportional to 1,229.22, 1,840.94 and 642.83

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Solution

The fourth proportional to 1,229.22, 1,840.94 and 642.83 is: 962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.22 : 1,840.94 = 642.83 : x
  2. Step 2: Convert to fraction form
    1,229.22/1,840.94 = 642.83/x
  3. Step 3: Cross multiply
    1,229.22x = 1,840.94 × 642.83
  4. Step 4: Simplify right side
    1,229.22x = 1,183,399.04
  5. Step 5: Solve for x
    x = 1,183,399.04/1,229.22
  6. Step 6: Final answer
    x = 962.73

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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.