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Finding the Fourth Proportional to 843.16, 1,163.57 and 470.17

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Solution

The fourth proportional to 843.16, 1,163.57 and 470.17 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.16 : 1,163.57 = 470.17 : x
  2. Step 2: Convert to fraction form
    843.16/1,163.57 = 470.17/x
  3. Step 3: Cross multiply
    843.16x = 1,163.57 × 470.17
  4. Step 4: Simplify right side
    843.16x = 547,073.21
  5. Step 5: Solve for x
    x = 547,073.21/843.16
  6. Step 6: Final answer
    x = 648.83

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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.