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Finding the Fourth Proportional to 1,189.56, 1,783.69 and 409.13

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Solution

The fourth proportional to 1,189.56, 1,783.69 and 409.13 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.56 : 1,783.69 = 409.13 : x
  2. Step 2: Convert to fraction form
    1,189.56/1,783.69 = 409.13/x
  3. Step 3: Cross multiply
    1,189.56x = 1,783.69 × 409.13
  4. Step 4: Simplify right side
    1,189.56x = 729,761.09
  5. Step 5: Solve for x
    x = 729,761.09/1,189.56
  6. Step 6: Final answer
    x = 613.47

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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.