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Finding the Fourth Proportional to 861.96, 1,189.43 and 488.85

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Solution

The fourth proportional to 861.96, 1,189.43 and 488.85 is: 674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.96 : 1,189.43 = 488.85 : x
  2. Step 2: Convert to fraction form
    861.96/1,189.43 = 488.85/x
  3. Step 3: Cross multiply
    861.96x = 1,189.43 × 488.85
  4. Step 4: Simplify right side
    861.96x = 581,450.41
  5. Step 5: Solve for x
    x = 581,450.41/861.96
  6. Step 6: Final answer
    x = 674.57

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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.