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Finding the Fourth Proportional to 772.15, 1,157.94 and 224.18

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Solution

The fourth proportional to 772.15, 1,157.94 and 224.18 is: 336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.15 : 1,157.94 = 224.18 : x
  2. Step 2: Convert to fraction form
    772.15/1,157.94 = 224.18/x
  3. Step 3: Cross multiply
    772.15x = 1,157.94 × 224.18
  4. Step 4: Simplify right side
    772.15x = 259,589.88
  5. Step 5: Solve for x
    x = 259,589.88/772.15
  6. Step 6: Final answer
    x = 336.19

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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.