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Finding the Fourth Proportional to 1,197.91, 1,796.23 and 466.75

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Solution

The fourth proportional to 1,197.91, 1,796.23 and 466.75 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.91 : 1,796.23 = 466.75 : x
  2. Step 2: Convert to fraction form
    1,197.91/1,796.23 = 466.75/x
  3. Step 3: Cross multiply
    1,197.91x = 1,796.23 × 466.75
  4. Step 4: Simplify right side
    1,197.91x = 838,390.35
  5. Step 5: Solve for x
    x = 838,390.35/1,197.91
  6. Step 6: Final answer
    x = 699.88

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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.