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Finding the Fourth Proportional to 1,327.82, 1,999.44 and 983.60

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Solution

The fourth proportional to 1,327.82, 1,999.44 and 983.60 is: 1,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.82 : 1,999.44 = 983.60 : x
  2. Step 2: Convert to fraction form
    1,327.82/1,999.44 = 983.60/x
  3. Step 3: Cross multiply
    1,327.82x = 1,999.44 × 983.60
  4. Step 4: Simplify right side
    1,327.82x = 1,966,639.19
  5. Step 5: Solve for x
    x = 1,966,639.19/1,327.82
  6. Step 6: Final answer
    x = 1,481.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.