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Finding the Fourth Proportional to 818.43, 1,226.58 and 406.68

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Solution

The fourth proportional to 818.43, 1,226.58 and 406.68 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.43 : 1,226.58 = 406.68 : x
  2. Step 2: Convert to fraction form
    818.43/1,226.58 = 406.68/x
  3. Step 3: Cross multiply
    818.43x = 1,226.58 × 406.68
  4. Step 4: Simplify right side
    818.43x = 498,825.55
  5. Step 5: Solve for x
    x = 498,825.55/818.43
  6. Step 6: Final answer
    x = 609.49

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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.