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Finding the Fourth Proportional to 836.97, 1,255.09 and 259.71

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Solution

The fourth proportional to 836.97, 1,255.09 and 259.71 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.97 : 1,255.09 = 259.71 : x
  2. Step 2: Convert to fraction form
    836.97/1,255.09 = 259.71/x
  3. Step 3: Cross multiply
    836.97x = 1,255.09 × 259.71
  4. Step 4: Simplify right side
    836.97x = 325,959.42
  5. Step 5: Solve for x
    x = 325,959.42/836.97
  6. Step 6: Final answer
    x = 389.45

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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.