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Finding the Fourth Proportional to 1,296.30, 1,943.67 and 516.42

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Solution

The fourth proportional to 1,296.30, 1,943.67 and 516.42 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.30 : 1,943.67 = 516.42 : x
  2. Step 2: Convert to fraction form
    1,296.30/1,943.67 = 516.42/x
  3. Step 3: Cross multiply
    1,296.30x = 1,943.67 × 516.42
  4. Step 4: Simplify right side
    1,296.30x = 1,003,747.64
  5. Step 5: Solve for x
    x = 1,003,747.64/1,296.30
  6. Step 6: Final answer
    x = 774.32

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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.