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Finding the Fourth Proportional to 1,107.35, 1,661.09 and 413.99

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Solution

The fourth proportional to 1,107.35, 1,661.09 and 413.99 is: 621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.35 : 1,661.09 = 413.99 : x
  2. Step 2: Convert to fraction form
    1,107.35/1,661.09 = 413.99/x
  3. Step 3: Cross multiply
    1,107.35x = 1,661.09 × 413.99
  4. Step 4: Simplify right side
    1,107.35x = 687,676.73
  5. Step 5: Solve for x
    x = 687,676.73/1,107.35
  6. Step 6: Final answer
    x = 621.01

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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.