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Finding the Fourth Proportional to 812.05, 1,218.79 and 465.73

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Solution

The fourth proportional to 812.05, 1,218.79 and 465.73 is: 699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.05 : 1,218.79 = 465.73 : x
  2. Step 2: Convert to fraction form
    812.05/1,218.79 = 465.73/x
  3. Step 3: Cross multiply
    812.05x = 1,218.79 × 465.73
  4. Step 4: Simplify right side
    812.05x = 567,627.07
  5. Step 5: Solve for x
    x = 567,627.07/812.05
  6. Step 6: Final answer
    x = 699.01

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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.