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Finding the Fourth Proportional to 1,107.61, 1,661.66 and 367.19

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Solution

The fourth proportional to 1,107.61, 1,661.66 and 367.19 is: 550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.61 : 1,661.66 = 367.19 : x
  2. Step 2: Convert to fraction form
    1,107.61/1,661.66 = 367.19/x
  3. Step 3: Cross multiply
    1,107.61x = 1,661.66 × 367.19
  4. Step 4: Simplify right side
    1,107.61x = 610,144.94
  5. Step 5: Solve for x
    x = 610,144.94/1,107.61
  6. Step 6: Final answer
    x = 550.87

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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.