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Finding the Fourth Proportional to 1,583.99, 2,375.90 and 705.95

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Solution

The fourth proportional to 1,583.99, 2,375.90 and 705.95 is: 1,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.99 : 2,375.90 = 705.95 : x
  2. Step 2: Convert to fraction form
    1,583.99/2,375.90 = 705.95/x
  3. Step 3: Cross multiply
    1,583.99x = 2,375.90 × 705.95
  4. Step 4: Simplify right side
    1,583.99x = 1,677,262.75
  5. Step 5: Solve for x
    x = 1,677,262.75/1,583.99
  6. Step 6: Final answer
    x = 1,058.89

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