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Finding the Fourth Proportional to 1,196.99, 1,795.50 and 466.57

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Solution

The fourth proportional to 1,196.99, 1,795.50 and 466.57 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.99 : 1,795.50 = 466.57 : x
  2. Step 2: Convert to fraction form
    1,196.99/1,795.50 = 466.57/x
  3. Step 3: Cross multiply
    1,196.99x = 1,795.50 × 466.57
  4. Step 4: Simplify right side
    1,196.99x = 837,726.44
  5. Step 5: Solve for x
    x = 837,726.44/1,196.99
  6. Step 6: Final answer
    x = 699.86

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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.