Home / 1,196.19-1,794.15-416.06

Finding the Fourth Proportional to 1,196.19, 1,794.15 and 416.06

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Solution

The fourth proportional to 1,196.19, 1,794.15 and 416.06 is: 624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.19 : 1,794.15 = 416.06 : x
  2. Step 2: Convert to fraction form
    1,196.19/1,794.15 = 416.06/x
  3. Step 3: Cross multiply
    1,196.19x = 1,794.15 × 416.06
  4. Step 4: Simplify right side
    1,196.19x = 746,474.05
  5. Step 5: Solve for x
    x = 746,474.05/1,196.19
  6. Step 6: Final answer
    x = 624.04

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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.