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Finding the Fourth Proportional to 1,107.67, 1,661.27 and 376.85

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Solution

The fourth proportional to 1,107.67, 1,661.27 and 376.85 is: 565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.67 : 1,661.27 = 376.85 : x
  2. Step 2: Convert to fraction form
    1,107.67/1,661.27 = 376.85/x
  3. Step 3: Cross multiply
    1,107.67x = 1,661.27 × 376.85
  4. Step 4: Simplify right side
    1,107.67x = 626,042.24
  5. Step 5: Solve for x
    x = 626,042.24/1,107.67
  6. Step 6: Final answer
    x = 565.19

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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.