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Finding the Fourth Proportional to 809.04, 1,213.74 and 322.14

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Solution

The fourth proportional to 809.04, 1,213.74 and 322.14 is: 483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.04 : 1,213.74 = 322.14 : x
  2. Step 2: Convert to fraction form
    809.04/1,213.74 = 322.14/x
  3. Step 3: Cross multiply
    809.04x = 1,213.74 × 322.14
  4. Step 4: Simplify right side
    809.04x = 390,994.20
  5. Step 5: Solve for x
    x = 390,994.20/809.04
  6. Step 6: Final answer
    x = 483.28

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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.