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Finding the Fourth Proportional to 774, 1,159.74 and 465.12

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Solution

The fourth proportional to 774, 1,159.74 and 465.12 is: 696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,159.74 = 465.12 : x
  2. Step 2: Convert to fraction form
    774/1,159.74 = 465.12/x
  3. Step 3: Cross multiply
    774x = 1,159.74 × 465.12
  4. Step 4: Simplify right side
    774x = 539,418.27
  5. Step 5: Solve for x
    x = 539,418.27/774
  6. Step 6: Final answer
    x = 696.92

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