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Finding the Fourth Proportional to 759.97, 1,138.74 and 451.09

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Solution

The fourth proportional to 759.97, 1,138.74 and 451.09 is: 675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.97 : 1,138.74 = 451.09 : x
  2. Step 2: Convert to fraction form
    759.97/1,138.74 = 451.09/x
  3. Step 3: Cross multiply
    759.97x = 1,138.74 × 451.09
  4. Step 4: Simplify right side
    759.97x = 513,674.23
  5. Step 5: Solve for x
    x = 513,674.23/759.97
  6. Step 6: Final answer
    x = 675.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.