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Finding the Fourth Proportional to 809.12, 1,213.14 and 322.04

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Solution

The fourth proportional to 809.12, 1,213.14 and 322.04 is: 482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.12 : 1,213.14 = 322.04 : x
  2. Step 2: Convert to fraction form
    809.12/1,213.14 = 322.04/x
  3. Step 3: Cross multiply
    809.12x = 1,213.14 × 322.04
  4. Step 4: Simplify right side
    809.12x = 390,679.61
  5. Step 5: Solve for x
    x = 390,679.61/809.12
  6. Step 6: Final answer
    x = 482.85

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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.