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Finding the Fourth Proportional to 800.97, 1,201.35 and 216.01

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Solution

The fourth proportional to 800.97, 1,201.35 and 216.01 is: 323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.97 : 1,201.35 = 216.01 : x
  2. Step 2: Convert to fraction form
    800.97/1,201.35 = 216.01/x
  3. Step 3: Cross multiply
    800.97x = 1,201.35 × 216.01
  4. Step 4: Simplify right side
    800.97x = 259,502.53
  5. Step 5: Solve for x
    x = 259,502.53/800.97
  6. Step 6: Final answer
    x = 323.99

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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.