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Finding the Fourth Proportional to 809.27, 1,213.83 and 419.25

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Solution

The fourth proportional to 809.27, 1,213.83 and 419.25 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.27 : 1,213.83 = 419.25 : x
  2. Step 2: Convert to fraction form
    809.27/1,213.83 = 419.25/x
  3. Step 3: Cross multiply
    809.27x = 1,213.83 × 419.25
  4. Step 4: Simplify right side
    809.27x = 508,898.23
  5. Step 5: Solve for x
    x = 508,898.23/809.27
  6. Step 6: Final answer
    x = 628.84

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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.