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Finding the Fourth Proportional to 809, 1,213.94 and 322.05

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Solution

The fourth proportional to 809, 1,213.94 and 322.05 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809 : 1,213.94 = 322.05 : x
  2. Step 2: Convert to fraction form
    809/1,213.94 = 322.05/x
  3. Step 3: Cross multiply
    809x = 1,213.94 × 322.05
  4. Step 4: Simplify right side
    809x = 390,949.38
  5. Step 5: Solve for x
    x = 390,949.38/809
  6. Step 6: Final answer
    x = 483.25

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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.