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Finding the Fourth Proportional to 845.91, 1,167.46 and 514.37

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Solution

The fourth proportional to 845.91, 1,167.46 and 514.37 is: 709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.91 : 1,167.46 = 514.37 : x
  2. Step 2: Convert to fraction form
    845.91/1,167.46 = 514.37/x
  3. Step 3: Cross multiply
    845.91x = 1,167.46 × 514.37
  4. Step 4: Simplify right side
    845.91x = 600,508.03
  5. Step 5: Solve for x
    x = 600,508.03/845.91
  6. Step 6: Final answer
    x = 709.90

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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.