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Finding the Fourth Proportional to 1,196.41, 1,794.15 and 416.20

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Solution

The fourth proportional to 1,196.41, 1,794.15 and 416.20 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.41 : 1,794.15 = 416.20 : x
  2. Step 2: Convert to fraction form
    1,196.41/1,794.15 = 416.20/x
  3. Step 3: Cross multiply
    1,196.41x = 1,794.15 × 416.20
  4. Step 4: Simplify right side
    1,196.41x = 746,725.23
  5. Step 5: Solve for x
    x = 746,725.23/1,196.41
  6. Step 6: Final answer
    x = 624.14

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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.