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Finding the Fourth Proportional to 1,396.08, 1,926.58 and 798.62

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Solution

The fourth proportional to 1,396.08, 1,926.58 and 798.62 is: 1,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.08 : 1,926.58 = 798.62 : x
  2. Step 2: Convert to fraction form
    1,396.08/1,926.58 = 798.62/x
  3. Step 3: Cross multiply
    1,396.08x = 1,926.58 × 798.62
  4. Step 4: Simplify right side
    1,396.08x = 1,538,605.32
  5. Step 5: Solve for x
    x = 1,538,605.32/1,396.08
  6. Step 6: Final answer
    x = 1,102.09

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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.