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Finding the Fourth Proportional to 1,193.31, 1,641.87 and 1,165.70

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Solution

The fourth proportional to 1,193.31, 1,641.87 and 1,165.70 is: 1,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.31 : 1,641.87 = 1,165.70 : x
  2. Step 2: Convert to fraction form
    1,193.31/1,641.87 = 1,165.70/x
  3. Step 3: Cross multiply
    1,193.31x = 1,641.87 × 1,165.70
  4. Step 4: Simplify right side
    1,193.31x = 1,913,931.96
  5. Step 5: Solve for x
    x = 1,913,931.96/1,193.31
  6. Step 6: Final answer
    x = 1,603.88

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