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Finding the Fourth Proportional to 829.89, 1,244.83 and 213.59

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Solution

The fourth proportional to 829.89, 1,244.83 and 213.59 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,244.83 = 213.59 : x
  2. Step 2: Convert to fraction form
    829.89/1,244.83 = 213.59/x
  3. Step 3: Cross multiply
    829.89x = 1,244.83 × 213.59
  4. Step 4: Simplify right side
    829.89x = 265,883.24
  5. Step 5: Solve for x
    x = 265,883.24/829.89
  6. Step 6: Final answer
    x = 320.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.