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Finding the Fourth Proportional to 1,016.21, 1,402.37 and 550.46

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Solution

The fourth proportional to 1,016.21, 1,402.37 and 550.46 is: 759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.21 : 1,402.37 = 550.46 : x
  2. Step 2: Convert to fraction form
    1,016.21/1,402.37 = 550.46/x
  3. Step 3: Cross multiply
    1,016.21x = 1,402.37 × 550.46
  4. Step 4: Simplify right side
    1,016.21x = 771,942.95
  5. Step 5: Solve for x
    x = 771,942.95/1,016.21
  6. Step 6: Final answer
    x = 759.63

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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.