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Finding the Fourth Proportional to 809.69, 1,214.48 and 261.84

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Solution

The fourth proportional to 809.69, 1,214.48 and 261.84 is: 392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.69 : 1,214.48 = 261.84 : x
  2. Step 2: Convert to fraction form
    809.69/1,214.48 = 261.84/x
  3. Step 3: Cross multiply
    809.69x = 1,214.48 × 261.84
  4. Step 4: Simplify right side
    809.69x = 317,998.13
  5. Step 5: Solve for x
    x = 317,998.13/809.69
  6. Step 6: Final answer
    x = 392.74

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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.