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Finding the Fourth Proportional to 1,190.67, 1,786.49 and 541.71

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Solution

The fourth proportional to 1,190.67, 1,786.49 and 541.71 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.67 : 1,786.49 = 541.71 : x
  2. Step 2: Convert to fraction form
    1,190.67/1,786.49 = 541.71/x
  3. Step 3: Cross multiply
    1,190.67x = 1,786.49 × 541.71
  4. Step 4: Simplify right side
    1,190.67x = 967,756.79
  5. Step 5: Solve for x
    x = 967,756.79/1,190.67
  6. Step 6: Final answer
    x = 812.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.