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Finding the Fourth Proportional to 859.74, 1,183.17 and 822.84

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Solution

The fourth proportional to 859.74, 1,183.17 and 822.84 is: 1,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.74 : 1,183.17 = 822.84 : x
  2. Step 2: Convert to fraction form
    859.74/1,183.17 = 822.84/x
  3. Step 3: Cross multiply
    859.74x = 1,183.17 × 822.84
  4. Step 4: Simplify right side
    859.74x = 973,559.60
  5. Step 5: Solve for x
    x = 973,559.60/859.74
  6. Step 6: Final answer
    x = 1,132.39

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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.