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Finding the Fourth Proportional to 525.80, 789.17 and 523.84

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Solution

The fourth proportional to 525.80, 789.17 and 523.84 is: 786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 789.17 = 523.84 : x
  2. Step 2: Convert to fraction form
    525.80/789.17 = 523.84/x
  3. Step 3: Cross multiply
    525.80x = 789.17 × 523.84
  4. Step 4: Simplify right side
    525.80x = 413,398.81
  5. Step 5: Solve for x
    x = 413,398.81/525.80
  6. Step 6: Final answer
    x = 786.23

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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.