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Finding the Fourth Proportional to 1,196.62, 1,795.06 and 330.96

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Solution

The fourth proportional to 1,196.62, 1,795.06 and 330.96 is: 496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.62 : 1,795.06 = 330.96 : x
  2. Step 2: Convert to fraction form
    1,196.62/1,795.06 = 330.96/x
  3. Step 3: Cross multiply
    1,196.62x = 1,795.06 × 330.96
  4. Step 4: Simplify right side
    1,196.62x = 594,093.06
  5. Step 5: Solve for x
    x = 594,093.06/1,196.62
  6. Step 6: Final answer
    x = 496.48

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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.