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Finding the Fourth Proportional to 1,095.34, 1,634.53 and 978.53

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Solution

The fourth proportional to 1,095.34, 1,634.53 and 978.53 is: 1,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.34 : 1,634.53 = 978.53 : x
  2. Step 2: Convert to fraction form
    1,095.34/1,634.53 = 978.53/x
  3. Step 3: Cross multiply
    1,095.34x = 1,634.53 × 978.53
  4. Step 4: Simplify right side
    1,095.34x = 1,599,436.64
  5. Step 5: Solve for x
    x = 1,599,436.64/1,095.34
  6. Step 6: Final answer
    x = 1,460.22

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