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Finding the Fourth Proportional to 1,293.62, 1,940.72 and 677.21

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Solution

The fourth proportional to 1,293.62, 1,940.72 and 677.21 is: 1,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.62 : 1,940.72 = 677.21 : x
  2. Step 2: Convert to fraction form
    1,293.62/1,940.72 = 677.21/x
  3. Step 3: Cross multiply
    1,293.62x = 1,940.72 × 677.21
  4. Step 4: Simplify right side
    1,293.62x = 1,314,261.90
  5. Step 5: Solve for x
    x = 1,314,261.90/1,293.62
  6. Step 6: Final answer
    x = 1,015.96

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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.