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Finding the Fourth Proportional to 1,196.81, 1,795.21 and 331.13

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Solution

The fourth proportional to 1,196.81, 1,795.21 and 331.13 is: 496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.81 : 1,795.21 = 331.13 : x
  2. Step 2: Convert to fraction form
    1,196.81/1,795.21 = 331.13/x
  3. Step 3: Cross multiply
    1,196.81x = 1,795.21 × 331.13
  4. Step 4: Simplify right side
    1,196.81x = 594,447.89
  5. Step 5: Solve for x
    x = 594,447.89/1,196.81
  6. Step 6: Final answer
    x = 496.69

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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.