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Finding the Fourth Proportional to 809.27, 1,214.07 and 261.43

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Solution

The fourth proportional to 809.27, 1,214.07 and 261.43 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.27 : 1,214.07 = 261.43 : x
  2. Step 2: Convert to fraction form
    809.27/1,214.07 = 261.43/x
  3. Step 3: Cross multiply
    809.27x = 1,214.07 × 261.43
  4. Step 4: Simplify right side
    809.27x = 317,386.94
  5. Step 5: Solve for x
    x = 317,386.94/809.27
  6. Step 6: Final answer
    x = 392.19

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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.