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Finding the Fourth Proportional to 842.03, 1,161.82 and 487.82

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Solution

The fourth proportional to 842.03, 1,161.82 and 487.82 is: 673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.03 : 1,161.82 = 487.82 : x
  2. Step 2: Convert to fraction form
    842.03/1,161.82 = 487.82/x
  3. Step 3: Cross multiply
    842.03x = 1,161.82 × 487.82
  4. Step 4: Simplify right side
    842.03x = 566,762.55
  5. Step 5: Solve for x
    x = 566,762.55/842.03
  6. Step 6: Final answer
    x = 673.09

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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.