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Finding the Fourth Proportional to 808.97, 1,213.81 and 424.13

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Solution

The fourth proportional to 808.97, 1,213.81 and 424.13 is: 636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.97 : 1,213.81 = 424.13 : x
  2. Step 2: Convert to fraction form
    808.97/1,213.81 = 424.13/x
  3. Step 3: Cross multiply
    808.97x = 1,213.81 × 424.13
  4. Step 4: Simplify right side
    808.97x = 514,806.11
  5. Step 5: Solve for x
    x = 514,806.11/808.97
  6. Step 6: Final answer
    x = 636.38

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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.