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Finding the Fourth Proportional to 1,216.83, 1,679.27 and 685.92

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Solution

The fourth proportional to 1,216.83, 1,679.27 and 685.92 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.83 : 1,679.27 = 685.92 : x
  2. Step 2: Convert to fraction form
    1,216.83/1,679.27 = 685.92/x
  3. Step 3: Cross multiply
    1,216.83x = 1,679.27 × 685.92
  4. Step 4: Simplify right side
    1,216.83x = 1,151,839.35
  5. Step 5: Solve for x
    x = 1,151,839.35/1,216.83
  6. Step 6: Final answer
    x = 946.59

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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.