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Finding the Fourth Proportional to 809.04, 1,213.76 and 289.14

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Solution

The fourth proportional to 809.04, 1,213.76 and 289.14 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.04 : 1,213.76 = 289.14 : x
  2. Step 2: Convert to fraction form
    809.04/1,213.76 = 289.14/x
  3. Step 3: Cross multiply
    809.04x = 1,213.76 × 289.14
  4. Step 4: Simplify right side
    809.04x = 350,946.57
  5. Step 5: Solve for x
    x = 350,946.57/809.04
  6. Step 6: Final answer
    x = 433.78

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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.