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Finding the Fourth Proportional to 1,260.66, 1,738.26 and 941.73

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Solution

The fourth proportional to 1,260.66, 1,738.26 and 941.73 is: 1,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.66 : 1,738.26 = 941.73 : x
  2. Step 2: Convert to fraction form
    1,260.66/1,738.26 = 941.73/x
  3. Step 3: Cross multiply
    1,260.66x = 1,738.26 × 941.73
  4. Step 4: Simplify right side
    1,260.66x = 1,636,965.07
  5. Step 5: Solve for x
    x = 1,636,965.07/1,260.66
  6. Step 6: Final answer
    x = 1,298.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.