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Finding the Fourth Proportional to 676.47, 1,013.79 and 493

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Solution

The fourth proportional to 676.47, 1,013.79 and 493 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 1,013.79 = 493 : x
  2. Step 2: Convert to fraction form
    676.47/1,013.79 = 493/x
  3. Step 3: Cross multiply
    676.47x = 1,013.79 × 493
  4. Step 4: Simplify right side
    676.47x = 499,798.47
  5. Step 5: Solve for x
    x = 499,798.47/676.47
  6. Step 6: Final answer
    x = 738.83

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