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Finding the Fourth Proportional to 1,119.63, 1,680.09 and 389.73

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Solution

The fourth proportional to 1,119.63, 1,680.09 and 389.73 is: 584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.63 : 1,680.09 = 389.73 : x
  2. Step 2: Convert to fraction form
    1,119.63/1,680.09 = 389.73/x
  3. Step 3: Cross multiply
    1,119.63x = 1,680.09 × 389.73
  4. Step 4: Simplify right side
    1,119.63x = 654,781.48
  5. Step 5: Solve for x
    x = 654,781.48/1,119.63
  6. Step 6: Final answer
    x = 584.82

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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.