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Finding the Fourth Proportional to 805.08, 1,110.75 and 556.44

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Solution

The fourth proportional to 805.08, 1,110.75 and 556.44 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.08 : 1,110.75 = 556.44 : x
  2. Step 2: Convert to fraction form
    805.08/1,110.75 = 556.44/x
  3. Step 3: Cross multiply
    805.08x = 1,110.75 × 556.44
  4. Step 4: Simplify right side
    805.08x = 618,065.73
  5. Step 5: Solve for x
    x = 618,065.73/805.08
  6. Step 6: Final answer
    x = 767.71

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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.