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Finding the Fourth Proportional to 1,196.36, 1,794.99 and 466.44

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Solution

The fourth proportional to 1,196.36, 1,794.99 and 466.44 is: 699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.36 : 1,794.99 = 466.44 : x
  2. Step 2: Convert to fraction form
    1,196.36/1,794.99 = 466.44/x
  3. Step 3: Cross multiply
    1,196.36x = 1,794.99 × 466.44
  4. Step 4: Simplify right side
    1,196.36x = 837,255.14
  5. Step 5: Solve for x
    x = 837,255.14/1,196.36
  6. Step 6: Final answer
    x = 699.84

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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.