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Finding the Fourth Proportional to 843.14, 1,163.46 and 470.10

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Solution

The fourth proportional to 843.14, 1,163.46 and 470.10 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.14 : 1,163.46 = 470.10 : x
  2. Step 2: Convert to fraction form
    843.14/1,163.46 = 470.10/x
  3. Step 3: Cross multiply
    843.14x = 1,163.46 × 470.10
  4. Step 4: Simplify right side
    843.14x = 546,942.55
  5. Step 5: Solve for x
    x = 546,942.55/843.14
  6. Step 6: Final answer
    x = 648.70

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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.