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Finding the Fourth Proportional to 800.72, 1,201.07 and 215.74

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Solution

The fourth proportional to 800.72, 1,201.07 and 215.74 is: 323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,201.07 = 215.74 : x
  2. Step 2: Convert to fraction form
    800.72/1,201.07 = 215.74/x
  3. Step 3: Cross multiply
    800.72x = 1,201.07 × 215.74
  4. Step 4: Simplify right side
    800.72x = 259,118.84
  5. Step 5: Solve for x
    x = 259,118.84/800.72
  6. Step 6: Final answer
    x = 323.61

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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.