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Finding the Fourth Proportional to 842.27, 1,162.49 and 488.15

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Solution

The fourth proportional to 842.27, 1,162.49 and 488.15 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.27 : 1,162.49 = 488.15 : x
  2. Step 2: Convert to fraction form
    842.27/1,162.49 = 488.15/x
  3. Step 3: Cross multiply
    842.27x = 1,162.49 × 488.15
  4. Step 4: Simplify right side
    842.27x = 567,467.05
  5. Step 5: Solve for x
    x = 567,467.05/842.27
  6. Step 6: Final answer
    x = 673.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.