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Finding the Fourth Proportional to 996.65, 1,375.54 and 576.93

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Solution

The fourth proportional to 996.65, 1,375.54 and 576.93 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.65 : 1,375.54 = 576.93 : x
  2. Step 2: Convert to fraction form
    996.65/1,375.54 = 576.93/x
  3. Step 3: Cross multiply
    996.65x = 1,375.54 × 576.93
  4. Step 4: Simplify right side
    996.65x = 793,590.29
  5. Step 5: Solve for x
    x = 793,590.29/996.65
  6. Step 6: Final answer
    x = 796.26

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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.