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Finding the Fourth Proportional to 1,197.32, 1,794.92 and 466.73

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Solution

The fourth proportional to 1,197.32, 1,794.92 and 466.73 is: 699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.32 : 1,794.92 = 466.73 : x
  2. Step 2: Convert to fraction form
    1,197.32/1,794.92 = 466.73/x
  3. Step 3: Cross multiply
    1,197.32x = 1,794.92 × 466.73
  4. Step 4: Simplify right side
    1,197.32x = 837,739.69
  5. Step 5: Solve for x
    x = 837,739.69/1,197.32
  6. Step 6: Final answer
    x = 699.68

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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.