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Finding the Fourth Proportional to 805.98, 1,112.10 and 764.97

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Solution

The fourth proportional to 805.98, 1,112.10 and 764.97 is: 1,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.98 : 1,112.10 = 764.97 : x
  2. Step 2: Convert to fraction form
    805.98/1,112.10 = 764.97/x
  3. Step 3: Cross multiply
    805.98x = 1,112.10 × 764.97
  4. Step 4: Simplify right side
    805.98x = 850,723.14
  5. Step 5: Solve for x
    x = 850,723.14/805.98
  6. Step 6: Final answer
    x = 1,055.51

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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.