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Finding the Fourth Proportional to 1,287.77, 1,926.87 and 768.06

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Solution

The fourth proportional to 1,287.77, 1,926.87 and 768.06 is: 1,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.77 : 1,926.87 = 768.06 : x
  2. Step 2: Convert to fraction form
    1,287.77/1,926.87 = 768.06/x
  3. Step 3: Cross multiply
    1,287.77x = 1,926.87 × 768.06
  4. Step 4: Simplify right side
    1,287.77x = 1,479,942.14
  5. Step 5: Solve for x
    x = 1,479,942.14/1,287.77
  6. Step 6: Final answer
    x = 1,149.23

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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.