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Finding the Fourth Proportional to 1,008.08, 1,510.74 and 978.52

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Solution

The fourth proportional to 1,008.08, 1,510.74 and 978.52 is: 1,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.08 : 1,510.74 = 978.52 : x
  2. Step 2: Convert to fraction form
    1,008.08/1,510.74 = 978.52/x
  3. Step 3: Cross multiply
    1,008.08x = 1,510.74 × 978.52
  4. Step 4: Simplify right side
    1,008.08x = 1,478,289.30
  5. Step 5: Solve for x
    x = 1,478,289.30/1,008.08
  6. Step 6: Final answer
    x = 1,466.44

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