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Finding the Fourth Proportional to 836.82, 1,254.03 and 733.86

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Solution

The fourth proportional to 836.82, 1,254.03 and 733.86 is: 1,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,254.03 = 733.86 : x
  2. Step 2: Convert to fraction form
    836.82/1,254.03 = 733.86/x
  3. Step 3: Cross multiply
    836.82x = 1,254.03 × 733.86
  4. Step 4: Simplify right side
    836.82x = 920,282.46
  5. Step 5: Solve for x
    x = 920,282.46/836.82
  6. Step 6: Final answer
    x = 1,099.74

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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.