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Finding the Fourth Proportional to 1,190.10, 1,786.78 and 605.49

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Solution

The fourth proportional to 1,190.10, 1,786.78 and 605.49 is: 909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.10 : 1,786.78 = 605.49 : x
  2. Step 2: Convert to fraction form
    1,190.10/1,786.78 = 605.49/x
  3. Step 3: Cross multiply
    1,190.10x = 1,786.78 × 605.49
  4. Step 4: Simplify right side
    1,190.10x = 1,081,886.01
  5. Step 5: Solve for x
    x = 1,081,886.01/1,190.10
  6. Step 6: Final answer
    x = 909.07

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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.