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Finding the Fourth Proportional to 859.00, 1,185.40 and 504.86

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Solution

The fourth proportional to 859.00, 1,185.40 and 504.86 is: 696.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.00 : 1,185.40 = 504.86 : x
  2. Step 2: Convert to fraction form
    859.00/1,185.40 = 504.86/x
  3. Step 3: Cross multiply
    859.00x = 1,185.40 × 504.86
  4. Step 4: Simplify right side
    859.00x = 598,453.85
  5. Step 5: Solve for x
    x = 598,453.85/859.00
  6. Step 6: Final answer
    x = 696.69

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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.