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Finding the Fourth Proportional to 818.23, 1,226.97 and 509.62

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Solution

The fourth proportional to 818.23, 1,226.97 and 509.62 is: 764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.23 : 1,226.97 = 509.62 : x
  2. Step 2: Convert to fraction form
    818.23/1,226.97 = 509.62/x
  3. Step 3: Cross multiply
    818.23x = 1,226.97 × 509.62
  4. Step 4: Simplify right side
    818.23x = 625,288.45
  5. Step 5: Solve for x
    x = 625,288.45/818.23
  6. Step 6: Final answer
    x = 764.20

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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.