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Finding the Fourth Proportional to 1,107.70, 1,661.73 and 377.20

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Solution

The fourth proportional to 1,107.70, 1,661.73 and 377.20 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.70 : 1,661.73 = 377.20 : x
  2. Step 2: Convert to fraction form
    1,107.70/1,661.73 = 377.20/x
  3. Step 3: Cross multiply
    1,107.70x = 1,661.73 × 377.20
  4. Step 4: Simplify right side
    1,107.70x = 626,804.56
  5. Step 5: Solve for x
    x = 626,804.56/1,107.70
  6. Step 6: Final answer
    x = 565.86

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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.