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Finding the Fourth Proportional to 809.49, 1,214.02 and 261.53

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Solution

The fourth proportional to 809.49, 1,214.02 and 261.53 is: 392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.49 : 1,214.02 = 261.53 : x
  2. Step 2: Convert to fraction form
    809.49/1,214.02 = 261.53/x
  3. Step 3: Cross multiply
    809.49x = 1,214.02 × 261.53
  4. Step 4: Simplify right side
    809.49x = 317,495.27
  5. Step 5: Solve for x
    x = 317,495.27/809.49
  6. Step 6: Final answer
    x = 392.22

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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.