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Finding the Fourth Proportional to 1,396.76, 1,927.44 and 807.26

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Solution

The fourth proportional to 1,396.76, 1,927.44 and 807.26 is: 1,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.76 : 1,927.44 = 807.26 : x
  2. Step 2: Convert to fraction form
    1,396.76/1,927.44 = 807.26/x
  3. Step 3: Cross multiply
    1,396.76x = 1,927.44 × 807.26
  4. Step 4: Simplify right side
    1,396.76x = 1,555,945.21
  5. Step 5: Solve for x
    x = 1,555,945.21/1,396.76
  6. Step 6: Final answer
    x = 1,113.97

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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.