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Finding the Fourth Proportional to 774.92, 1,069.76 and 495.20

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Solution

The fourth proportional to 774.92, 1,069.76 and 495.20 is: 683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,069.76 = 495.20 : x
  2. Step 2: Convert to fraction form
    774.92/1,069.76 = 495.20/x
  3. Step 3: Cross multiply
    774.92x = 1,069.76 × 495.20
  4. Step 4: Simplify right side
    774.92x = 529,745.15
  5. Step 5: Solve for x
    x = 529,745.15/774.92
  6. Step 6: Final answer
    x = 683.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.