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Finding the Fourth Proportional to 862.37, 1,293.57 and 213.09

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Solution

The fourth proportional to 862.37, 1,293.57 and 213.09 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.37 : 1,293.57 = 213.09 : x
  2. Step 2: Convert to fraction form
    862.37/1,293.57 = 213.09/x
  3. Step 3: Cross multiply
    862.37x = 1,293.57 × 213.09
  4. Step 4: Simplify right side
    862.37x = 275,646.83
  5. Step 5: Solve for x
    x = 275,646.83/862.37
  6. Step 6: Final answer
    x = 319.64

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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.