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Finding the Fourth Proportional to 1,190.72, 1,786.19 and 410.61

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Solution

The fourth proportional to 1,190.72, 1,786.19 and 410.61 is: 615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.72 : 1,786.19 = 410.61 : x
  2. Step 2: Convert to fraction form
    1,190.72/1,786.19 = 410.61/x
  3. Step 3: Cross multiply
    1,190.72x = 1,786.19 × 410.61
  4. Step 4: Simplify right side
    1,190.72x = 733,425.42
  5. Step 5: Solve for x
    x = 733,425.42/1,190.72
  6. Step 6: Final answer
    x = 615.95

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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.