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Finding the Fourth Proportional to 1,293.90, 1,940.43 and 746.34

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Solution

The fourth proportional to 1,293.90, 1,940.43 and 746.34 is: 1,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.90 : 1,940.43 = 746.34 : x
  2. Step 2: Convert to fraction form
    1,293.90/1,940.43 = 746.34/x
  3. Step 3: Cross multiply
    1,293.90x = 1,940.43 × 746.34
  4. Step 4: Simplify right side
    1,293.90x = 1,448,220.53
  5. Step 5: Solve for x
    x = 1,448,220.53/1,293.90
  6. Step 6: Final answer
    x = 1,119.27

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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.