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Finding the Fourth Proportional to 826.92, 1,126.80 and 824.04

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Solution

The fourth proportional to 826.92, 1,126.80 and 824.04 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.92 : 1,126.80 = 824.04 : x
  2. Step 2: Convert to fraction form
    826.92/1,126.80 = 824.04/x
  3. Step 3: Cross multiply
    826.92x = 1,126.80 × 824.04
  4. Step 4: Simplify right side
    826.92x = 928,528.27
  5. Step 5: Solve for x
    x = 928,528.27/826.92
  6. Step 6: Final answer
    x = 1,122.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.