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Finding the Fourth Proportional to 815.65, 1,223.36 and 267.86

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Solution

The fourth proportional to 815.65, 1,223.36 and 267.86 is: 401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.65 : 1,223.36 = 267.86 : x
  2. Step 2: Convert to fraction form
    815.65/1,223.36 = 267.86/x
  3. Step 3: Cross multiply
    815.65x = 1,223.36 × 267.86
  4. Step 4: Simplify right side
    815.65x = 327,689.21
  5. Step 5: Solve for x
    x = 327,689.21/815.65
  6. Step 6: Final answer
    x = 401.75

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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.