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Finding the Fourth Proportional to 1,216.95, 1,679.23 and 685.81

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Solution

The fourth proportional to 1,216.95, 1,679.23 and 685.81 is: 946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.95 : 1,679.23 = 685.81 : x
  2. Step 2: Convert to fraction form
    1,216.95/1,679.23 = 685.81/x
  3. Step 3: Cross multiply
    1,216.95x = 1,679.23 × 685.81
  4. Step 4: Simplify right side
    1,216.95x = 1,151,632.73
  5. Step 5: Solve for x
    x = 1,151,632.73/1,216.95
  6. Step 6: Final answer
    x = 946.33

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Why These Related Problems?

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