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Finding the Fourth Proportional to 809.52, 1,213.74 and 418.77

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Solution

The fourth proportional to 809.52, 1,213.74 and 418.77 is: 627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,213.74 = 418.77 : x
  2. Step 2: Convert to fraction form
    809.52/1,213.74 = 418.77/x
  3. Step 3: Cross multiply
    809.52x = 1,213.74 × 418.77
  4. Step 4: Simplify right side
    809.52x = 508,277.90
  5. Step 5: Solve for x
    x = 508,277.90/809.52
  6. Step 6: Final answer
    x = 627.88

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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.