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Finding the Fourth Proportional to 1,277.69, 1,912.82 and 950.09

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Solution

The fourth proportional to 1,277.69, 1,912.82 and 950.09 is: 1,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.69 : 1,912.82 = 950.09 : x
  2. Step 2: Convert to fraction form
    1,277.69/1,912.82 = 950.09/x
  3. Step 3: Cross multiply
    1,277.69x = 1,912.82 × 950.09
  4. Step 4: Simplify right side
    1,277.69x = 1,817,336.84
  5. Step 5: Solve for x
    x = 1,817,336.84/1,277.69
  6. Step 6: Final answer
    x = 1,422.36

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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.