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Finding the Fourth Proportional to 816.94, 1,216.97 and 766.51

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Solution

The fourth proportional to 816.94, 1,216.97 and 766.51 is: 1,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.94 : 1,216.97 = 766.51 : x
  2. Step 2: Convert to fraction form
    816.94/1,216.97 = 766.51/x
  3. Step 3: Cross multiply
    816.94x = 1,216.97 × 766.51
  4. Step 4: Simplify right side
    816.94x = 932,826.83
  5. Step 5: Solve for x
    x = 932,826.83/816.94
  6. Step 6: Final answer
    x = 1,141.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.