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Finding the Fourth Proportional to 1,433.88, 1,978.66 and 795.78

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Solution

The fourth proportional to 1,433.88, 1,978.66 and 795.78 is: 1,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.88 : 1,978.66 = 795.78 : x
  2. Step 2: Convert to fraction form
    1,433.88/1,978.66 = 795.78/x
  3. Step 3: Cross multiply
    1,433.88x = 1,978.66 × 795.78
  4. Step 4: Simplify right side
    1,433.88x = 1,574,576.07
  5. Step 5: Solve for x
    x = 1,574,576.07/1,433.88
  6. Step 6: Final answer
    x = 1,098.12

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