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Finding the Fourth Proportional to 1,293.56, 1,940.31 and 319.67

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Solution

The fourth proportional to 1,293.56, 1,940.31 and 319.67 is: 479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.56 : 1,940.31 = 319.67 : x
  2. Step 2: Convert to fraction form
    1,293.56/1,940.31 = 319.67/x
  3. Step 3: Cross multiply
    1,293.56x = 1,940.31 × 319.67
  4. Step 4: Simplify right side
    1,293.56x = 620,249.20
  5. Step 5: Solve for x
    x = 620,249.20/1,293.56
  6. Step 6: Final answer
    x = 479.49

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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.