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Finding the Fourth Proportional to 852.95, 1,178.33 and 573.09

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Solution

The fourth proportional to 852.95, 1,178.33 and 573.09 is: 791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.95 : 1,178.33 = 573.09 : x
  2. Step 2: Convert to fraction form
    852.95/1,178.33 = 573.09/x
  3. Step 3: Cross multiply
    852.95x = 1,178.33 × 573.09
  4. Step 4: Simplify right side
    852.95x = 675,286.27
  5. Step 5: Solve for x
    x = 675,286.27/852.95
  6. Step 6: Final answer
    x = 791.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.