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Finding the Fourth Proportional to 805.82, 1,112.41 and 474.14

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Solution

The fourth proportional to 805.82, 1,112.41 and 474.14 is: 654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.82 : 1,112.41 = 474.14 : x
  2. Step 2: Convert to fraction form
    805.82/1,112.41 = 474.14/x
  3. Step 3: Cross multiply
    805.82x = 1,112.41 × 474.14
  4. Step 4: Simplify right side
    805.82x = 527,438.08
  5. Step 5: Solve for x
    x = 527,438.08/805.82
  6. Step 6: Final answer
    x = 654.54

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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.