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Finding the Fourth Proportional to 1,016.56, 1,402.68 and 984.16

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Solution

The fourth proportional to 1,016.56, 1,402.68 and 984.16 is: 1,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.56 : 1,402.68 = 984.16 : x
  2. Step 2: Convert to fraction form
    1,016.56/1,402.68 = 984.16/x
  3. Step 3: Cross multiply
    1,016.56x = 1,402.68 × 984.16
  4. Step 4: Simplify right side
    1,016.56x = 1,380,461.55
  5. Step 5: Solve for x
    x = 1,380,461.55/1,016.56
  6. Step 6: Final answer
    x = 1,357.97

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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.