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Finding the Fourth Proportional to 797.82, 1,196.37 and 364.92

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Solution

The fourth proportional to 797.82, 1,196.37 and 364.92 is: 547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.82 : 1,196.37 = 364.92 : x
  2. Step 2: Convert to fraction form
    797.82/1,196.37 = 364.92/x
  3. Step 3: Cross multiply
    797.82x = 1,196.37 × 364.92
  4. Step 4: Simplify right side
    797.82x = 436,579.34
  5. Step 5: Solve for x
    x = 436,579.34/797.82
  6. Step 6: Final answer
    x = 547.22

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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.