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Finding the Fourth Proportional to 986, 1,477.11 and 928.81

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Solution

The fourth proportional to 986, 1,477.11 and 928.81 is: 1,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 1,477.11 = 928.81 : x
  2. Step 2: Convert to fraction form
    986/1,477.11 = 928.81/x
  3. Step 3: Cross multiply
    986x = 1,477.11 × 928.81
  4. Step 4: Simplify right side
    986x = 1,371,954.54
  5. Step 5: Solve for x
    x = 1,371,954.54/986
  6. Step 6: Final answer
    x = 1,391.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.