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Finding the Fourth Proportional to 1,196.57, 1,794.95 and 330.88

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Solution

The fourth proportional to 1,196.57, 1,794.95 and 330.88 is: 496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.57 : 1,794.95 = 330.88 : x
  2. Step 2: Convert to fraction form
    1,196.57/1,794.95 = 330.88/x
  3. Step 3: Cross multiply
    1,196.57x = 1,794.95 × 330.88
  4. Step 4: Simplify right side
    1,196.57x = 593,913.06
  5. Step 5: Solve for x
    x = 593,913.06/1,196.57
  6. Step 6: Final answer
    x = 496.35

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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.