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Finding the Fourth Proportional to 776.25, 1,163.52 and 685.17

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Solution

The fourth proportional to 776.25, 1,163.52 and 685.17 is: 1,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.25 : 1,163.52 = 685.17 : x
  2. Step 2: Convert to fraction form
    776.25/1,163.52 = 685.17/x
  3. Step 3: Cross multiply
    776.25x = 1,163.52 × 685.17
  4. Step 4: Simplify right side
    776.25x = 797,209.00
  5. Step 5: Solve for x
    x = 797,209.00/776.25
  6. Step 6: Final answer
    x = 1,027.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.