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Finding the Fourth Proportional to 818.47, 1,227.89 and 270.63

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Solution

The fourth proportional to 818.47, 1,227.89 and 270.63 is: 406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.47 : 1,227.89 = 270.63 : x
  2. Step 2: Convert to fraction form
    818.47/1,227.89 = 270.63/x
  3. Step 3: Cross multiply
    818.47x = 1,227.89 × 270.63
  4. Step 4: Simplify right side
    818.47x = 332,303.87
  5. Step 5: Solve for x
    x = 332,303.87/818.47
  6. Step 6: Final answer
    x = 406.01

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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.