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Finding the Fourth Proportional to 1,216.94, 1,677.04 and 867.02

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Solution

The fourth proportional to 1,216.94, 1,677.04 and 867.02 is: 1,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.94 : 1,677.04 = 867.02 : x
  2. Step 2: Convert to fraction form
    1,216.94/1,677.04 = 867.02/x
  3. Step 3: Cross multiply
    1,216.94x = 1,677.04 × 867.02
  4. Step 4: Simplify right side
    1,216.94x = 1,454,016.67
  5. Step 5: Solve for x
    x = 1,454,016.67/1,216.94
  6. Step 6: Final answer
    x = 1,194.82

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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.