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Finding the Fourth Proportional to 1,266.12, 1,899.70 and 680.76

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Solution

The fourth proportional to 1,266.12, 1,899.70 and 680.76 is: 1,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.12 : 1,899.70 = 680.76 : x
  2. Step 2: Convert to fraction form
    1,266.12/1,899.70 = 680.76/x
  3. Step 3: Cross multiply
    1,266.12x = 1,899.70 × 680.76
  4. Step 4: Simplify right side
    1,266.12x = 1,293,238.07
  5. Step 5: Solve for x
    x = 1,293,238.07/1,266.12
  6. Step 6: Final answer
    x = 1,021.42

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