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Finding the Fourth Proportional to 843.29, 1,163.73 and 470.35

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Solution

The fourth proportional to 843.29, 1,163.73 and 470.35 is: 649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.29 : 1,163.73 = 470.35 : x
  2. Step 2: Convert to fraction form
    843.29/1,163.73 = 470.35/x
  3. Step 3: Cross multiply
    843.29x = 1,163.73 × 470.35
  4. Step 4: Simplify right side
    843.29x = 547,363.62
  5. Step 5: Solve for x
    x = 547,363.62/843.29
  6. Step 6: Final answer
    x = 649.08

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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.