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Finding the Fourth Proportional to 696.22, 959.87 and 499.39

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Solution

The fourth proportional to 696.22, 959.87 and 499.39 is: 688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.22 : 959.87 = 499.39 : x
  2. Step 2: Convert to fraction form
    696.22/959.87 = 499.39/x
  3. Step 3: Cross multiply
    696.22x = 959.87 × 499.39
  4. Step 4: Simplify right side
    696.22x = 479,346.98
  5. Step 5: Solve for x
    x = 479,346.98/696.22
  6. Step 6: Final answer
    x = 688.50

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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.