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Finding the Fourth Proportional to 1,057.98, 1,584.33 and 641.29

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Solution

The fourth proportional to 1,057.98, 1,584.33 and 641.29 is: 960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.98 : 1,584.33 = 641.29 : x
  2. Step 2: Convert to fraction form
    1,057.98/1,584.33 = 641.29/x
  3. Step 3: Cross multiply
    1,057.98x = 1,584.33 × 641.29
  4. Step 4: Simplify right side
    1,057.98x = 1,016,014.99
  5. Step 5: Solve for x
    x = 1,016,014.99/1,057.98
  6. Step 6: Final answer
    x = 960.33

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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.