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Finding the Fourth Proportional to 797.72, 1,196.17 and 364.50

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Solution

The fourth proportional to 797.72, 1,196.17 and 364.50 is: 546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.72 : 1,196.17 = 364.50 : x
  2. Step 2: Convert to fraction form
    797.72/1,196.17 = 364.50/x
  3. Step 3: Cross multiply
    797.72x = 1,196.17 × 364.50
  4. Step 4: Simplify right side
    797.72x = 436,003.05
  5. Step 5: Solve for x
    x = 436,003.05/797.72
  6. Step 6: Final answer
    x = 546.56

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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.