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Finding the Fourth Proportional to 1,097.64, 1,513.80 and 978.17

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Solution

The fourth proportional to 1,097.64, 1,513.80 and 978.17 is: 1,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.64 : 1,513.80 = 978.17 : x
  2. Step 2: Convert to fraction form
    1,097.64/1,513.80 = 978.17/x
  3. Step 3: Cross multiply
    1,097.64x = 1,513.80 × 978.17
  4. Step 4: Simplify right side
    1,097.64x = 1,480,753.75
  5. Step 5: Solve for x
    x = 1,480,753.75/1,097.64
  6. Step 6: Final answer
    x = 1,349.03

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