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Finding the Fourth Proportional to 815.14, 1,222.94 and 267.71

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Solution

The fourth proportional to 815.14, 1,222.94 and 267.71 is: 401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.14 : 1,222.94 = 267.71 : x
  2. Step 2: Convert to fraction form
    815.14/1,222.94 = 267.71/x
  3. Step 3: Cross multiply
    815.14x = 1,222.94 × 267.71
  4. Step 4: Simplify right side
    815.14x = 327,393.27
  5. Step 5: Solve for x
    x = 327,393.27/815.14
  6. Step 6: Final answer
    x = 401.64

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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.