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Finding the Fourth Proportional to 797.85, 1,099.58 and 786.51

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Solution

The fourth proportional to 797.85, 1,099.58 and 786.51 is: 1,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.85 : 1,099.58 = 786.51 : x
  2. Step 2: Convert to fraction form
    797.85/1,099.58 = 786.51/x
  3. Step 3: Cross multiply
    797.85x = 1,099.58 × 786.51
  4. Step 4: Simplify right side
    797.85x = 864,826.73
  5. Step 5: Solve for x
    x = 864,826.73/797.85
  6. Step 6: Final answer
    x = 1,083.95

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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.