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Finding the Fourth Proportional to 1,038.05, 1,553.48 and 978.08

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Solution

The fourth proportional to 1,038.05, 1,553.48 and 978.08 is: 1,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.05 : 1,553.48 = 978.08 : x
  2. Step 2: Convert to fraction form
    1,038.05/1,553.48 = 978.08/x
  3. Step 3: Cross multiply
    1,038.05x = 1,553.48 × 978.08
  4. Step 4: Simplify right side
    1,038.05x = 1,519,415.06
  5. Step 5: Solve for x
    x = 1,519,415.06/1,038.05
  6. Step 6: Final answer
    x = 1,463.73

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