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Finding the Fourth Proportional to 859.07, 1,185.12 and 504.88

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Solution

The fourth proportional to 859.07, 1,185.12 and 504.88 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.07 : 1,185.12 = 504.88 : x
  2. Step 2: Convert to fraction form
    859.07/1,185.12 = 504.88/x
  3. Step 3: Cross multiply
    859.07x = 1,185.12 × 504.88
  4. Step 4: Simplify right side
    859.07x = 598,343.39
  5. Step 5: Solve for x
    x = 598,343.39/859.07
  6. Step 6: Final answer
    x = 696.50

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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.