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Finding the Fourth Proportional to 836.73, 1,154.18 and 504.83

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Solution

The fourth proportional to 836.73, 1,154.18 and 504.83 is: 696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,154.18 = 504.83 : x
  2. Step 2: Convert to fraction form
    836.73/1,154.18 = 504.83/x
  3. Step 3: Cross multiply
    836.73x = 1,154.18 × 504.83
  4. Step 4: Simplify right side
    836.73x = 582,658.92
  5. Step 5: Solve for x
    x = 582,658.92/836.73
  6. Step 6: Final answer
    x = 696.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.