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Finding the Fourth Proportional to 826.56, 1,230.48 and 815.04

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Solution

The fourth proportional to 826.56, 1,230.48 and 815.04 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,230.48 = 815.04 : x
  2. Step 2: Convert to fraction form
    826.56/1,230.48 = 815.04/x
  3. Step 3: Cross multiply
    826.56x = 1,230.48 × 815.04
  4. Step 4: Simplify right side
    826.56x = 1,002,890.42
  5. Step 5: Solve for x
    x = 1,002,890.42/826.56
  6. Step 6: Final answer
    x = 1,213.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.