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Finding the Fourth Proportional to 842.05, 1,161.97 and 468.98

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Solution

The fourth proportional to 842.05, 1,161.97 and 468.98 is: 647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.05 : 1,161.97 = 468.98 : x
  2. Step 2: Convert to fraction form
    842.05/1,161.97 = 468.98/x
  3. Step 3: Cross multiply
    842.05x = 1,161.97 × 468.98
  4. Step 4: Simplify right side
    842.05x = 544,940.69
  5. Step 5: Solve for x
    x = 544,940.69/842.05
  6. Step 6: Final answer
    x = 647.16

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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.