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Finding the Fourth Proportional to 843.10, 1,163.46 and 470.11

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Solution

The fourth proportional to 843.10, 1,163.46 and 470.11 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.10 : 1,163.46 = 470.11 : x
  2. Step 2: Convert to fraction form
    843.10/1,163.46 = 470.11/x
  3. Step 3: Cross multiply
    843.10x = 1,163.46 × 470.11
  4. Step 4: Simplify right side
    843.10x = 546,954.18
  5. Step 5: Solve for x
    x = 546,954.18/843.10
  6. Step 6: Final answer
    x = 648.74

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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.