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Finding the Fourth Proportional to 1,583.54, 2,374.70 and 706.31

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Solution

The fourth proportional to 1,583.54, 2,374.70 and 706.31 is: 1,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.54 : 2,374.70 = 706.31 : x
  2. Step 2: Convert to fraction form
    1,583.54/2,374.70 = 706.31/x
  3. Step 3: Cross multiply
    1,583.54x = 2,374.70 × 706.31
  4. Step 4: Simplify right side
    1,583.54x = 1,677,274.36
  5. Step 5: Solve for x
    x = 1,677,274.36/1,583.54
  6. Step 6: Final answer
    x = 1,059.19

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