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Finding the Fourth Proportional to 1,012.41, 1,396.41 and 978.54

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Solution

The fourth proportional to 1,012.41, 1,396.41 and 978.54 is: 1,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.41 : 1,396.41 = 978.54 : x
  2. Step 2: Convert to fraction form
    1,012.41/1,396.41 = 978.54/x
  3. Step 3: Cross multiply
    1,012.41x = 1,396.41 × 978.54
  4. Step 4: Simplify right side
    1,012.41x = 1,366,443.04
  5. Step 5: Solve for x
    x = 1,366,443.04/1,012.41
  6. Step 6: Final answer
    x = 1,349.69

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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.