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Finding the Fourth Proportional to 1,057.21, 1,584.86 and 600.25

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Solution

The fourth proportional to 1,057.21, 1,584.86 and 600.25 is: 899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.21 : 1,584.86 = 600.25 : x
  2. Step 2: Convert to fraction form
    1,057.21/1,584.86 = 600.25/x
  3. Step 3: Cross multiply
    1,057.21x = 1,584.86 × 600.25
  4. Step 4: Simplify right side
    1,057.21x = 951,309.21
  5. Step 5: Solve for x
    x = 951,309.21/1,057.21
  6. Step 6: Final answer
    x = 899.83

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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.