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Finding the Fourth Proportional to 843.24, 1,264.86 and 453.24

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Solution

The fourth proportional to 843.24, 1,264.86 and 453.24 is: 679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.24 : 1,264.86 = 453.24 : x
  2. Step 2: Convert to fraction form
    843.24/1,264.86 = 453.24/x
  3. Step 3: Cross multiply
    843.24x = 1,264.86 × 453.24
  4. Step 4: Simplify right side
    843.24x = 573,285.15
  5. Step 5: Solve for x
    x = 573,285.15/843.24
  6. Step 6: Final answer
    x = 679.86

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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.