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Finding the Fourth Proportional to 843.42, 1,163.84 and 470.39

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Solution

The fourth proportional to 843.42, 1,163.84 and 470.39 is: 649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,163.84 = 470.39 : x
  2. Step 2: Convert to fraction form
    843.42/1,163.84 = 470.39/x
  3. Step 3: Cross multiply
    843.42x = 1,163.84 × 470.39
  4. Step 4: Simplify right side
    843.42x = 547,459.26
  5. Step 5: Solve for x
    x = 547,459.26/843.42
  6. Step 6: Final answer
    x = 649.09

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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.