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Finding the Fourth Proportional to 857, 1,284.69 and 531.38

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Solution

The fourth proportional to 857, 1,284.69 and 531.38 is: 796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 1,284.69 = 531.38 : x
  2. Step 2: Convert to fraction form
    857/1,284.69 = 531.38/x
  3. Step 3: Cross multiply
    857x = 1,284.69 × 531.38
  4. Step 4: Simplify right side
    857x = 682,658.57
  5. Step 5: Solve for x
    x = 682,658.57/857
  6. Step 6: Final answer
    x = 796.57

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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.