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Finding the Fourth Proportional to 996.10, 1,374.54 and 576.46

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Solution

The fourth proportional to 996.10, 1,374.54 and 576.46 is: 795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.10 : 1,374.54 = 576.46 : x
  2. Step 2: Convert to fraction form
    996.10/1,374.54 = 576.46/x
  3. Step 3: Cross multiply
    996.10x = 1,374.54 × 576.46
  4. Step 4: Simplify right side
    996.10x = 792,367.33
  5. Step 5: Solve for x
    x = 792,367.33/996.10
  6. Step 6: Final answer
    x = 795.47

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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.