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Finding the Fourth Proportional to 1,247.28, 1,871.40 and 516.67

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Solution

The fourth proportional to 1,247.28, 1,871.40 and 516.67 is: 775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.28 : 1,871.40 = 516.67 : x
  2. Step 2: Convert to fraction form
    1,247.28/1,871.40 = 516.67/x
  3. Step 3: Cross multiply
    1,247.28x = 1,871.40 × 516.67
  4. Step 4: Simplify right side
    1,247.28x = 966,896.24
  5. Step 5: Solve for x
    x = 966,896.24/1,247.28
  6. Step 6: Final answer
    x = 775.20

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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.