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Finding the Fourth Proportional to 836.71, 1,253.24 and 511.09

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Solution

The fourth proportional to 836.71, 1,253.24 and 511.09 is: 765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.71 : 1,253.24 = 511.09 : x
  2. Step 2: Convert to fraction form
    836.71/1,253.24 = 511.09/x
  3. Step 3: Cross multiply
    836.71x = 1,253.24 × 511.09
  4. Step 4: Simplify right side
    836.71x = 640,509.61
  5. Step 5: Solve for x
    x = 640,509.61/836.71
  6. Step 6: Final answer
    x = 765.51

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Double scale
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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.