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Finding the Fourth Proportional to 1,396.78, 1,927.57 and 767.37

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Solution

The fourth proportional to 1,396.78, 1,927.57 and 767.37 is: 1,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.78 : 1,927.57 = 767.37 : x
  2. Step 2: Convert to fraction form
    1,396.78/1,927.57 = 767.37/x
  3. Step 3: Cross multiply
    1,396.78x = 1,927.57 × 767.37
  4. Step 4: Simplify right side
    1,396.78x = 1,479,152.03
  5. Step 5: Solve for x
    x = 1,479,152.03/1,396.78
  6. Step 6: Final answer
    x = 1,058.97

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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.