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Finding the Fourth Proportional to 1,246.62, 1,868.70 and 516.81

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Solution

The fourth proportional to 1,246.62, 1,868.70 and 516.81 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.62 : 1,868.70 = 516.81 : x
  2. Step 2: Convert to fraction form
    1,246.62/1,868.70 = 516.81/x
  3. Step 3: Cross multiply
    1,246.62x = 1,868.70 × 516.81
  4. Step 4: Simplify right side
    1,246.62x = 965,762.85
  5. Step 5: Solve for x
    x = 965,762.85/1,246.62
  6. Step 6: Final answer
    x = 774.71

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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.