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Finding the Fourth Proportional to 1,247.26, 1,870.89 and 516.55

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Solution

The fourth proportional to 1,247.26, 1,870.89 and 516.55 is: 774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.26 : 1,870.89 = 516.55 : x
  2. Step 2: Convert to fraction form
    1,247.26/1,870.89 = 516.55/x
  3. Step 3: Cross multiply
    1,247.26x = 1,870.89 × 516.55
  4. Step 4: Simplify right side
    1,247.26x = 966,408.23
  5. Step 5: Solve for x
    x = 966,408.23/1,247.26
  6. Step 6: Final answer
    x = 774.83

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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.