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Finding the Fourth Proportional to 1,071.83, 1,481.59 and 985.73

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Solution

The fourth proportional to 1,071.83, 1,481.59 and 985.73 is: 1,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.83 : 1,481.59 = 985.73 : x
  2. Step 2: Convert to fraction form
    1,071.83/1,481.59 = 985.73/x
  3. Step 3: Cross multiply
    1,071.83x = 1,481.59 × 985.73
  4. Step 4: Simplify right side
    1,071.83x = 1,460,440.30
  5. Step 5: Solve for x
    x = 1,460,440.30/1,071.83
  6. Step 6: Final answer
    x = 1,362.57

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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.