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Finding the Fourth Proportional to 794.50, 1,191.56 and 274.52

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Solution

The fourth proportional to 794.50, 1,191.56 and 274.52 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.50 : 1,191.56 = 274.52 : x
  2. Step 2: Convert to fraction form
    794.50/1,191.56 = 274.52/x
  3. Step 3: Cross multiply
    794.50x = 1,191.56 × 274.52
  4. Step 4: Simplify right side
    794.50x = 327,106.85
  5. Step 5: Solve for x
    x = 327,106.85/794.50
  6. Step 6: Final answer
    x = 411.71

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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.