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Finding the Fourth Proportional to 1,258.90, 1,736.06 and 978.64

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Solution

The fourth proportional to 1,258.90, 1,736.06 and 978.64 is: 1,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.90 : 1,736.06 = 978.64 : x
  2. Step 2: Convert to fraction form
    1,258.90/1,736.06 = 978.64/x
  3. Step 3: Cross multiply
    1,258.90x = 1,736.06 × 978.64
  4. Step 4: Simplify right side
    1,258.90x = 1,698,977.76
  5. Step 5: Solve for x
    x = 1,698,977.76/1,258.90
  6. Step 6: Final answer
    x = 1,349.57

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