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Finding the Fourth Proportional to 812.99, 1,218.44 and 466.51

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Solution

The fourth proportional to 812.99, 1,218.44 and 466.51 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.99 : 1,218.44 = 466.51 : x
  2. Step 2: Convert to fraction form
    812.99/1,218.44 = 466.51/x
  3. Step 3: Cross multiply
    812.99x = 1,218.44 × 466.51
  4. Step 4: Simplify right side
    812.99x = 568,414.44
  5. Step 5: Solve for x
    x = 568,414.44/812.99
  6. Step 6: Final answer
    x = 699.17

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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.