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Finding the Fourth Proportional to 1,600.88, 2,401.52 and 446.63

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Solution

The fourth proportional to 1,600.88, 2,401.52 and 446.63 is: 669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.88 : 2,401.52 = 446.63 : x
  2. Step 2: Convert to fraction form
    1,600.88/2,401.52 = 446.63/x
  3. Step 3: Cross multiply
    1,600.88x = 2,401.52 × 446.63
  4. Step 4: Simplify right side
    1,600.88x = 1,072,576.64
  5. Step 5: Solve for x
    x = 1,072,576.64/1,600.88
  6. Step 6: Final answer
    x = 669.99

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