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Finding the Fourth Proportional to 859.74, 1,186.50 and 523.78

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Solution

The fourth proportional to 859.74, 1,186.50 and 523.78 is: 722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.74 : 1,186.50 = 523.78 : x
  2. Step 2: Convert to fraction form
    859.74/1,186.50 = 523.78/x
  3. Step 3: Cross multiply
    859.74x = 1,186.50 × 523.78
  4. Step 4: Simplify right side
    859.74x = 621,464.97
  5. Step 5: Solve for x
    x = 621,464.97/859.74
  6. Step 6: Final answer
    x = 722.85

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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.