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Finding the Fourth Proportional to 842.38, 1,167.00 and 822.22

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Solution

The fourth proportional to 842.38, 1,167.00 and 822.22 is: 1,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.38 : 1,167.00 = 822.22 : x
  2. Step 2: Convert to fraction form
    842.38/1,167.00 = 822.22/x
  3. Step 3: Cross multiply
    842.38x = 1,167.00 × 822.22
  4. Step 4: Simplify right side
    842.38x = 959,526.63
  5. Step 5: Solve for x
    x = 959,526.63/842.38
  6. Step 6: Final answer
    x = 1,139.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.