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Finding the Fourth Proportional to 1,196.37, 1,794.15 and 363.24

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Solution

The fourth proportional to 1,196.37, 1,794.15 and 363.24 is: 544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.37 : 1,794.15 = 363.24 : x
  2. Step 2: Convert to fraction form
    1,196.37/1,794.15 = 363.24/x
  3. Step 3: Cross multiply
    1,196.37x = 1,794.15 × 363.24
  4. Step 4: Simplify right side
    1,196.37x = 651,707.05
  5. Step 5: Solve for x
    x = 651,707.05/1,196.37
  6. Step 6: Final answer
    x = 544.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.