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Finding the Fourth Proportional to 791.84, 1,091.58 and 644.22

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Solution

The fourth proportional to 791.84, 1,091.58 and 644.22 is: 888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,091.58 = 644.22 : x
  2. Step 2: Convert to fraction form
    791.84/1,091.58 = 644.22/x
  3. Step 3: Cross multiply
    791.84x = 1,091.58 × 644.22
  4. Step 4: Simplify right side
    791.84x = 703,215.25
  5. Step 5: Solve for x
    x = 703,215.25/791.84
  6. Step 6: Final answer
    x = 888.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.