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Finding the Fourth Proportional to 523.54, 785.35 and 516.43

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Solution

The fourth proportional to 523.54, 785.35 and 516.43 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 785.35 = 516.43 : x
  2. Step 2: Convert to fraction form
    523.54/785.35 = 516.43/x
  3. Step 3: Cross multiply
    523.54x = 785.35 × 516.43
  4. Step 4: Simplify right side
    523.54x = 405,578.30
  5. Step 5: Solve for x
    x = 405,578.30/523.54
  6. Step 6: Final answer
    x = 774.68

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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.