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Finding the Fourth Proportional to 1,219.27, 1,829.60 and 516.42

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Solution

The fourth proportional to 1,219.27, 1,829.60 and 516.42 is: 774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.27 : 1,829.60 = 516.42 : x
  2. Step 2: Convert to fraction form
    1,219.27/1,829.60 = 516.42/x
  3. Step 3: Cross multiply
    1,219.27x = 1,829.60 × 516.42
  4. Step 4: Simplify right side
    1,219.27x = 944,842.03
  5. Step 5: Solve for x
    x = 944,842.03/1,219.27
  6. Step 6: Final answer
    x = 774.92

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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.