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Finding the Fourth Proportional to 816.72, 1,224.99 and 231.77

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Solution

The fourth proportional to 816.72, 1,224.99 and 231.77 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,224.99 = 231.77 : x
  2. Step 2: Convert to fraction form
    816.72/1,224.99 = 231.77/x
  3. Step 3: Cross multiply
    816.72x = 1,224.99 × 231.77
  4. Step 4: Simplify right side
    816.72x = 283,919.66
  5. Step 5: Solve for x
    x = 283,919.66/816.72
  6. Step 6: Final answer
    x = 347.63

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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.