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Finding the Fourth Proportional to 1,216.54, 1,679.05 and 774.96

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Solution

The fourth proportional to 1,216.54, 1,679.05 and 774.96 is: 1,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.54 : 1,679.05 = 774.96 : x
  2. Step 2: Convert to fraction form
    1,216.54/1,679.05 = 774.96/x
  3. Step 3: Cross multiply
    1,216.54x = 1,679.05 × 774.96
  4. Step 4: Simplify right side
    1,216.54x = 1,301,196.59
  5. Step 5: Solve for x
    x = 1,301,196.59/1,216.54
  6. Step 6: Final answer
    x = 1,069.59

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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.