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Finding the Fourth Proportional to 839.38, 1,259.07 and 262.27

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Solution

The fourth proportional to 839.38, 1,259.07 and 262.27 is: 393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.38 : 1,259.07 = 262.27 : x
  2. Step 2: Convert to fraction form
    839.38/1,259.07 = 262.27/x
  3. Step 3: Cross multiply
    839.38x = 1,259.07 × 262.27
  4. Step 4: Simplify right side
    839.38x = 330,216.29
  5. Step 5: Solve for x
    x = 330,216.29/839.38
  6. Step 6: Final answer
    x = 393.41

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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.