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Finding the Fourth Proportional to 865.79, 1,194.64 and 822.01

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Solution

The fourth proportional to 865.79, 1,194.64 and 822.01 is: 1,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.79 : 1,194.64 = 822.01 : x
  2. Step 2: Convert to fraction form
    865.79/1,194.64 = 822.01/x
  3. Step 3: Cross multiply
    865.79x = 1,194.64 × 822.01
  4. Step 4: Simplify right side
    865.79x = 982,006.03
  5. Step 5: Solve for x
    x = 982,006.03/865.79
  6. Step 6: Final answer
    x = 1,134.23

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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.