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Finding the Fourth Proportional to 804.57, 1,206.87 and 227.43

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Solution

The fourth proportional to 804.57, 1,206.87 and 227.43 is: 341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.57 : 1,206.87 = 227.43 : x
  2. Step 2: Convert to fraction form
    804.57/1,206.87 = 227.43/x
  3. Step 3: Cross multiply
    804.57x = 1,206.87 × 227.43
  4. Step 4: Simplify right side
    804.57x = 274,478.44
  5. Step 5: Solve for x
    x = 274,478.44/804.57
  6. Step 6: Final answer
    x = 341.15

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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.