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Finding the Fourth Proportional to 809.54, 1,213.10 and 375.80

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Solution

The fourth proportional to 809.54, 1,213.10 and 375.80 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.54 : 1,213.10 = 375.80 : x
  2. Step 2: Convert to fraction form
    809.54/1,213.10 = 375.80/x
  3. Step 3: Cross multiply
    809.54x = 1,213.10 × 375.80
  4. Step 4: Simplify right side
    809.54x = 455,882.98
  5. Step 5: Solve for x
    x = 455,882.98/809.54
  6. Step 6: Final answer
    x = 563.14

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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.