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Finding the Fourth Proportional to 1,266.45, 1,896.18 and 648.83

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Solution

The fourth proportional to 1,266.45, 1,896.18 and 648.83 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.45 : 1,896.18 = 648.83 : x
  2. Step 2: Convert to fraction form
    1,266.45/1,896.18 = 648.83/x
  3. Step 3: Cross multiply
    1,266.45x = 1,896.18 × 648.83
  4. Step 4: Simplify right side
    1,266.45x = 1,230,293.73
  5. Step 5: Solve for x
    x = 1,230,293.73/1,266.45
  6. Step 6: Final answer
    x = 971.45

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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.