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Finding the Fourth Proportional to 816.24, 1,222.52 and 382.48

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Solution

The fourth proportional to 816.24, 1,222.52 and 382.48 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.24 : 1,222.52 = 382.48 : x
  2. Step 2: Convert to fraction form
    816.24/1,222.52 = 382.48/x
  3. Step 3: Cross multiply
    816.24x = 1,222.52 × 382.48
  4. Step 4: Simplify right side
    816.24x = 467,589.45
  5. Step 5: Solve for x
    x = 467,589.45/816.24
  6. Step 6: Final answer
    x = 572.86

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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.