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Finding the Fourth Proportional to 1,583.71, 2,375.97 and 609.89

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Solution

The fourth proportional to 1,583.71, 2,375.97 and 609.89 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.71 : 2,375.97 = 609.89 : x
  2. Step 2: Convert to fraction form
    1,583.71/2,375.97 = 609.89/x
  3. Step 3: Cross multiply
    1,583.71x = 2,375.97 × 609.89
  4. Step 4: Simplify right side
    1,583.71x = 1,449,080.34
  5. Step 5: Solve for x
    x = 1,449,080.34/1,583.71
  6. Step 6: Final answer
    x = 914.99

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