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Finding the Fourth Proportional to 774.86, 1,162.70 and 364

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Solution

The fourth proportional to 774.86, 1,162.70 and 364 is: 546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.86 : 1,162.70 = 364 : x
  2. Step 2: Convert to fraction form
    774.86/1,162.70 = 364/x
  3. Step 3: Cross multiply
    774.86x = 1,162.70 × 364
  4. Step 4: Simplify right side
    774.86x = 423,222.80
  5. Step 5: Solve for x
    x = 423,222.80/774.86
  6. Step 6: Final answer
    x = 546.19

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