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Finding the Fourth Proportional to 1,196.52, 1,794.78 and 330.83

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Solution

The fourth proportional to 1,196.52, 1,794.78 and 330.83 is: 496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.52 : 1,794.78 = 330.83 : x
  2. Step 2: Convert to fraction form
    1,196.52/1,794.78 = 330.83/x
  3. Step 3: Cross multiply
    1,196.52x = 1,794.78 × 330.83
  4. Step 4: Simplify right side
    1,196.52x = 593,765.41
  5. Step 5: Solve for x
    x = 593,765.41/1,196.52
  6. Step 6: Final answer
    x = 496.25

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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.