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Finding the Fourth Proportional to 806.96, 1,209.08 and 518.24

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Solution

The fourth proportional to 806.96, 1,209.08 and 518.24 is: 776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,209.08 = 518.24 : x
  2. Step 2: Convert to fraction form
    806.96/1,209.08 = 518.24/x
  3. Step 3: Cross multiply
    806.96x = 1,209.08 × 518.24
  4. Step 4: Simplify right side
    806.96x = 626,593.62
  5. Step 5: Solve for x
    x = 626,593.62/806.96
  6. Step 6: Final answer
    x = 776.49

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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.