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Finding the Fourth Proportional to 852.23, 1,278.07 and 274.97

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Solution

The fourth proportional to 852.23, 1,278.07 and 274.97 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.23 : 1,278.07 = 274.97 : x
  2. Step 2: Convert to fraction form
    852.23/1,278.07 = 274.97/x
  3. Step 3: Cross multiply
    852.23x = 1,278.07 × 274.97
  4. Step 4: Simplify right side
    852.23x = 351,429.65
  5. Step 5: Solve for x
    x = 351,429.65/852.23
  6. Step 6: Final answer
    x = 412.37

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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.