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Finding the Fourth Proportional to 812.35, 1,218.25 and 401.77

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Solution

The fourth proportional to 812.35, 1,218.25 and 401.77 is: 602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.35 : 1,218.25 = 401.77 : x
  2. Step 2: Convert to fraction form
    812.35/1,218.25 = 401.77/x
  3. Step 3: Cross multiply
    812.35x = 1,218.25 × 401.77
  4. Step 4: Simplify right side
    812.35x = 489,456.30
  5. Step 5: Solve for x
    x = 489,456.30/812.35
  6. Step 6: Final answer
    x = 602.52

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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.