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Finding the Fourth Proportional to 845.92, 1,269.12 and 268.96

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Solution

The fourth proportional to 845.92, 1,269.12 and 268.96 is: 403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.92 : 1,269.12 = 268.96 : x
  2. Step 2: Convert to fraction form
    845.92/1,269.12 = 268.96/x
  3. Step 3: Cross multiply
    845.92x = 1,269.12 × 268.96
  4. Step 4: Simplify right side
    845.92x = 341,342.52
  5. Step 5: Solve for x
    x = 341,342.52/845.92
  6. Step 6: Final answer
    x = 403.52

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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.