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Finding the Fourth Proportional to 1,189.62, 1,784.43 and 409.59

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Solution

The fourth proportional to 1,189.62, 1,784.43 and 409.59 is: 614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.62 : 1,784.43 = 409.59 : x
  2. Step 2: Convert to fraction form
    1,189.62/1,784.43 = 409.59/x
  3. Step 3: Cross multiply
    1,189.62x = 1,784.43 × 409.59
  4. Step 4: Simplify right side
    1,189.62x = 730,884.68
  5. Step 5: Solve for x
    x = 730,884.68/1,189.62
  6. Step 6: Final answer
    x = 614.39

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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.