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Finding the Fourth Proportional to 1,049.78, 1,576.66 and 1,007.72

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Solution

The fourth proportional to 1,049.78, 1,576.66 and 1,007.72 is: 1,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.78 : 1,576.66 = 1,007.72 : x
  2. Step 2: Convert to fraction form
    1,049.78/1,576.66 = 1,007.72/x
  3. Step 3: Cross multiply
    1,049.78x = 1,576.66 × 1,007.72
  4. Step 4: Simplify right side
    1,049.78x = 1,588,826.45
  5. Step 5: Solve for x
    x = 1,588,826.45/1,049.78
  6. Step 6: Final answer
    x = 1,513.48

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