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Finding the Fourth Proportional to 843.86, 1,264.40 and 518.54

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Solution

The fourth proportional to 843.86, 1,264.40 and 518.54 is: 776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.86 : 1,264.40 = 518.54 : x
  2. Step 2: Convert to fraction form
    843.86/1,264.40 = 518.54/x
  3. Step 3: Cross multiply
    843.86x = 1,264.40 × 518.54
  4. Step 4: Simplify right side
    843.86x = 655,641.98
  5. Step 5: Solve for x
    x = 655,641.98/843.86
  6. Step 6: Final answer
    x = 776.96

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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.