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Finding the Fourth Proportional to 1,289.75, 1,768.28 and 1,266.39

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Solution

The fourth proportional to 1,289.75, 1,768.28 and 1,266.39 is: 1,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.75 : 1,768.28 = 1,266.39 : x
  2. Step 2: Convert to fraction form
    1,289.75/1,768.28 = 1,266.39/x
  3. Step 3: Cross multiply
    1,289.75x = 1,768.28 × 1,266.39
  4. Step 4: Simplify right side
    1,289.75x = 2,239,325.78
  5. Step 5: Solve for x
    x = 2,239,325.78/1,289.75
  6. Step 6: Final answer
    x = 1,736.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.