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Finding the Fourth Proportional to 1,174.78, 1,762.26 and 597.34

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Solution

The fourth proportional to 1,174.78, 1,762.26 and 597.34 is: 896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.78 : 1,762.26 = 597.34 : x
  2. Step 2: Convert to fraction form
    1,174.78/1,762.26 = 597.34/x
  3. Step 3: Cross multiply
    1,174.78x = 1,762.26 × 597.34
  4. Step 4: Simplify right side
    1,174.78x = 1,052,668.39
  5. Step 5: Solve for x
    x = 1,052,668.39/1,174.78
  6. Step 6: Final answer
    x = 896.06

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