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Finding the Fourth Proportional to 1,209.61, 1,815.22 and 516.44

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Solution

The fourth proportional to 1,209.61, 1,815.22 and 516.44 is: 775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.61 : 1,815.22 = 516.44 : x
  2. Step 2: Convert to fraction form
    1,209.61/1,815.22 = 516.44/x
  3. Step 3: Cross multiply
    1,209.61x = 1,815.22 × 516.44
  4. Step 4: Simplify right side
    1,209.61x = 937,450.47
  5. Step 5: Solve for x
    x = 937,450.47/1,209.61
  6. Step 6: Final answer
    x = 775.00

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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.