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Finding the Fourth Proportional to 1,274.51, 1,757.91 and 1,084.97

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Solution

The fourth proportional to 1,274.51, 1,757.91 and 1,084.97 is: 1,496.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.51 : 1,757.91 = 1,084.97 : x
  2. Step 2: Convert to fraction form
    1,274.51/1,757.91 = 1,084.97/x
  3. Step 3: Cross multiply
    1,274.51x = 1,757.91 × 1,084.97
  4. Step 4: Simplify right side
    1,274.51x = 1,907,270.82
  5. Step 5: Solve for x
    x = 1,907,270.82/1,274.51
  6. Step 6: Final answer
    x = 1,496.48

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