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Finding the Fourth Proportional to 1,289.98, 1,936.23 and 674.65

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Solution

The fourth proportional to 1,289.98, 1,936.23 and 674.65 is: 1,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.98 : 1,936.23 = 674.65 : x
  2. Step 2: Convert to fraction form
    1,289.98/1,936.23 = 674.65/x
  3. Step 3: Cross multiply
    1,289.98x = 1,936.23 × 674.65
  4. Step 4: Simplify right side
    1,289.98x = 1,306,277.57
  5. Step 5: Solve for x
    x = 1,306,277.57/1,289.98
  6. Step 6: Final answer
    x = 1,012.63

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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.