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Finding the Fourth Proportional to 1,107.94, 1,662.21 and 377.57

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Solution

The fourth proportional to 1,107.94, 1,662.21 and 377.57 is: 566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.94 : 1,662.21 = 377.57 : x
  2. Step 2: Convert to fraction form
    1,107.94/1,662.21 = 377.57/x
  3. Step 3: Cross multiply
    1,107.94x = 1,662.21 × 377.57
  4. Step 4: Simplify right side
    1,107.94x = 627,600.63
  5. Step 5: Solve for x
    x = 627,600.63/1,107.94
  6. Step 6: Final answer
    x = 566.46

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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.