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Finding the Fourth Proportional to 809.91, 1,212.24 and 500.31

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Solution

The fourth proportional to 809.91, 1,212.24 and 500.31 is: 748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.91 : 1,212.24 = 500.31 : x
  2. Step 2: Convert to fraction form
    809.91/1,212.24 = 500.31/x
  3. Step 3: Cross multiply
    809.91x = 1,212.24 × 500.31
  4. Step 4: Simplify right side
    809.91x = 606,495.79
  5. Step 5: Solve for x
    x = 606,495.79/809.91
  6. Step 6: Final answer
    x = 748.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.