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Finding the Fourth Proportional to 1,293.85, 1,940.64 and 677.31

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Solution

The fourth proportional to 1,293.85, 1,940.64 and 677.31 is: 1,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.85 : 1,940.64 = 677.31 : x
  2. Step 2: Convert to fraction form
    1,293.85/1,940.64 = 677.31/x
  3. Step 3: Cross multiply
    1,293.85x = 1,940.64 × 677.31
  4. Step 4: Simplify right side
    1,293.85x = 1,314,414.88
  5. Step 5: Solve for x
    x = 1,314,414.88/1,293.85
  6. Step 6: Final answer
    x = 1,015.89

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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.