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Finding the Fourth Proportional to 1,119.94, 1,680.07 and 389.42

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Solution

The fourth proportional to 1,119.94, 1,680.07 and 389.42 is: 584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.94 : 1,680.07 = 389.42 : x
  2. Step 2: Convert to fraction form
    1,119.94/1,680.07 = 389.42/x
  3. Step 3: Cross multiply
    1,119.94x = 1,680.07 × 389.42
  4. Step 4: Simplify right side
    1,119.94x = 654,258.87
  5. Step 5: Solve for x
    x = 654,258.87/1,119.94
  6. Step 6: Final answer
    x = 584.19

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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.