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Finding the Fourth Proportional to 1,189.08, 1,783.64 and 409.08

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Solution

The fourth proportional to 1,189.08, 1,783.64 and 409.08 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.08 : 1,783.64 = 409.08 : x
  2. Step 2: Convert to fraction form
    1,189.08/1,783.64 = 409.08/x
  3. Step 3: Cross multiply
    1,189.08x = 1,783.64 × 409.08
  4. Step 4: Simplify right side
    1,189.08x = 729,651.45
  5. Step 5: Solve for x
    x = 729,651.45/1,189.08
  6. Step 6: Final answer
    x = 613.63

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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.