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Finding the Fourth Proportional to 978.20, 1,349.91 and 536.09

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Solution

The fourth proportional to 978.20, 1,349.91 and 536.09 is: 739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.20 : 1,349.91 = 536.09 : x
  2. Step 2: Convert to fraction form
    978.20/1,349.91 = 536.09/x
  3. Step 3: Cross multiply
    978.20x = 1,349.91 × 536.09
  4. Step 4: Simplify right side
    978.20x = 723,666.50
  5. Step 5: Solve for x
    x = 723,666.50/978.20
  6. Step 6: Final answer
    x = 739.80

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