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Finding the Fourth Proportional to 1,196.15, 1,794.49 and 416.18

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Solution

The fourth proportional to 1,196.15, 1,794.49 and 416.18 is: 624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.15 : 1,794.49 = 416.18 : x
  2. Step 2: Convert to fraction form
    1,196.15/1,794.49 = 416.18/x
  3. Step 3: Cross multiply
    1,196.15x = 1,794.49 × 416.18
  4. Step 4: Simplify right side
    1,196.15x = 746,834.29
  5. Step 5: Solve for x
    x = 746,834.29/1,196.15
  6. Step 6: Final answer
    x = 624.37

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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.