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Finding the Fourth Proportional to 886.72, 1,224.24 and 576.64

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Solution

The fourth proportional to 886.72, 1,224.24 and 576.64 is: 796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.72 : 1,224.24 = 576.64 : x
  2. Step 2: Convert to fraction form
    886.72/1,224.24 = 576.64/x
  3. Step 3: Cross multiply
    886.72x = 1,224.24 × 576.64
  4. Step 4: Simplify right side
    886.72x = 705,945.75
  5. Step 5: Solve for x
    x = 705,945.75/886.72
  6. Step 6: Final answer
    x = 796.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.