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Finding the Fourth Proportional to 739.98, 1,022.04 and 662.22

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Solution

The fourth proportional to 739.98, 1,022.04 and 662.22 is: 914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.98 : 1,022.04 = 662.22 : x
  2. Step 2: Convert to fraction form
    739.98/1,022.04 = 662.22/x
  3. Step 3: Cross multiply
    739.98x = 1,022.04 × 662.22
  4. Step 4: Simplify right side
    739.98x = 676,815.33
  5. Step 5: Solve for x
    x = 676,815.33/739.98
  6. Step 6: Final answer
    x = 914.64

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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.