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Finding the Fourth Proportional to 739.87, 1,022.48 and 606.88

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Solution

The fourth proportional to 739.87, 1,022.48 and 606.88 is: 838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.87 : 1,022.48 = 606.88 : x
  2. Step 2: Convert to fraction form
    739.87/1,022.48 = 606.88/x
  3. Step 3: Cross multiply
    739.87x = 1,022.48 × 606.88
  4. Step 4: Simplify right side
    739.87x = 620,519.14
  5. Step 5: Solve for x
    x = 620,519.14/739.87
  6. Step 6: Final answer
    x = 838.69

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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.