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Finding the Fourth Proportional to 809.57, 1,214.24 and 261.80

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Solution

The fourth proportional to 809.57, 1,214.24 and 261.80 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,214.24 = 261.80 : x
  2. Step 2: Convert to fraction form
    809.57/1,214.24 = 261.80/x
  3. Step 3: Cross multiply
    809.57x = 1,214.24 × 261.80
  4. Step 4: Simplify right side
    809.57x = 317,880.65
  5. Step 5: Solve for x
    x = 317,880.65/809.57
  6. Step 6: Final answer
    x = 392.66

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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.