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Finding the Fourth Proportional to 815.27, 1,222.88 and 543.11

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Solution

The fourth proportional to 815.27, 1,222.88 and 543.11 is: 814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.27 : 1,222.88 = 543.11 : x
  2. Step 2: Convert to fraction form
    815.27/1,222.88 = 543.11/x
  3. Step 3: Cross multiply
    815.27x = 1,222.88 × 543.11
  4. Step 4: Simplify right side
    815.27x = 664,149.53
  5. Step 5: Solve for x
    x = 664,149.53/815.27
  6. Step 6: Final answer
    x = 814.64

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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.