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Finding the Fourth Proportional to 864, 1,296 and 576.18

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Solution

The fourth proportional to 864, 1,296 and 576.18 is: 864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,296 = 576.18 : x
  2. Step 2: Convert to fraction form
    864/1,296 = 576.18/x
  3. Step 3: Cross multiply
    864x = 1,296 × 576.18
  4. Step 4: Simplify right side
    864x = 746,729.28
  5. Step 5: Solve for x
    x = 746,729.28/864
  6. Step 6: Final answer
    x = 864.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.