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Finding the Fourth Proportional to 1,175.88, 1,764.42 and 598.75

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Solution

The fourth proportional to 1,175.88, 1,764.42 and 598.75 is: 898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.88 : 1,764.42 = 598.75 : x
  2. Step 2: Convert to fraction form
    1,175.88/1,764.42 = 598.75/x
  3. Step 3: Cross multiply
    1,175.88x = 1,764.42 × 598.75
  4. Step 4: Simplify right side
    1,175.88x = 1,056,446.48
  5. Step 5: Solve for x
    x = 1,056,446.48/1,175.88
  6. Step 6: Final answer
    x = 898.43

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