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Finding the Fourth Proportional to 1,286.69, 1,930.18 and 409.00

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Solution

The fourth proportional to 1,286.69, 1,930.18 and 409.00 is: 613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.69 : 1,930.18 = 409.00 : x
  2. Step 2: Convert to fraction form
    1,286.69/1,930.18 = 409.00/x
  3. Step 3: Cross multiply
    1,286.69x = 1,930.18 × 409.00
  4. Step 4: Simplify right side
    1,286.69x = 789,442.16
  5. Step 5: Solve for x
    x = 789,442.16/1,286.69
  6. Step 6: Final answer
    x = 613.55

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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.