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Finding the Fourth Proportional to 794.25, 1,191.36 and 267.19

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Solution

The fourth proportional to 794.25, 1,191.36 and 267.19 is: 400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,191.36 = 267.19 : x
  2. Step 2: Convert to fraction form
    794.25/1,191.36 = 267.19/x
  3. Step 3: Cross multiply
    794.25x = 1,191.36 × 267.19
  4. Step 4: Simplify right side
    794.25x = 318,319.35
  5. Step 5: Solve for x
    x = 318,319.35/794.25
  6. Step 6: Final answer
    x = 400.78

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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.