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Finding the Fourth Proportional to 1,189.02, 1,782.30 and 408.78

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Solution

The fourth proportional to 1,189.02, 1,782.30 and 408.78 is: 612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.02 : 1,782.30 = 408.78 : x
  2. Step 2: Convert to fraction form
    1,189.02/1,782.30 = 408.78/x
  3. Step 3: Cross multiply
    1,189.02x = 1,782.30 × 408.78
  4. Step 4: Simplify right side
    1,189.02x = 728,568.59
  5. Step 5: Solve for x
    x = 728,568.59/1,189.02
  6. Step 6: Final answer
    x = 612.75

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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.