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Finding the Fourth Proportional to 809.41, 1,213.69 and 289.33

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Solution

The fourth proportional to 809.41, 1,213.69 and 289.33 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.41 : 1,213.69 = 289.33 : x
  2. Step 2: Convert to fraction form
    809.41/1,213.69 = 289.33/x
  3. Step 3: Cross multiply
    809.41x = 1,213.69 × 289.33
  4. Step 4: Simplify right side
    809.41x = 351,156.93
  5. Step 5: Solve for x
    x = 351,156.93/809.41
  6. Step 6: Final answer
    x = 433.84

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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.