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Finding the Fourth Proportional to 1,196.22, 1,794.62 and 416.11

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Solution

The fourth proportional to 1,196.22, 1,794.62 and 416.11 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.22 : 1,794.62 = 416.11 : x
  2. Step 2: Convert to fraction form
    1,196.22/1,794.62 = 416.11/x
  3. Step 3: Cross multiply
    1,196.22x = 1,794.62 × 416.11
  4. Step 4: Simplify right side
    1,196.22x = 746,748.27
  5. Step 5: Solve for x
    x = 746,748.27/1,196.22
  6. Step 6: Final answer
    x = 624.26

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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.