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Finding the Fourth Proportional to 1,246.44, 1,869.88 and 516.56

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Solution

The fourth proportional to 1,246.44, 1,869.88 and 516.56 is: 774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.44 : 1,869.88 = 516.56 : x
  2. Step 2: Convert to fraction form
    1,246.44/1,869.88 = 516.56/x
  3. Step 3: Cross multiply
    1,246.44x = 1,869.88 × 516.56
  4. Step 4: Simplify right side
    1,246.44x = 965,905.21
  5. Step 5: Solve for x
    x = 965,905.21/1,246.44
  6. Step 6: Final answer
    x = 774.93

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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.