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Finding the Fourth Proportional to 818.07, 1,227.05 and 407.09

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Solution

The fourth proportional to 818.07, 1,227.05 and 407.09 is: 610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.07 : 1,227.05 = 407.09 : x
  2. Step 2: Convert to fraction form
    818.07/1,227.05 = 407.09/x
  3. Step 3: Cross multiply
    818.07x = 1,227.05 × 407.09
  4. Step 4: Simplify right side
    818.07x = 499,522.34
  5. Step 5: Solve for x
    x = 499,522.34/818.07
  6. Step 6: Final answer
    x = 610.61

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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.