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Finding the Fourth Proportional to 836.28, 1,156.10 and 801.92

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Solution

The fourth proportional to 836.28, 1,156.10 and 801.92 is: 1,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.28 : 1,156.10 = 801.92 : x
  2. Step 2: Convert to fraction form
    836.28/1,156.10 = 801.92/x
  3. Step 3: Cross multiply
    836.28x = 1,156.10 × 801.92
  4. Step 4: Simplify right side
    836.28x = 927,099.71
  5. Step 5: Solve for x
    x = 927,099.71/836.28
  6. Step 6: Final answer
    x = 1,108.60

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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.