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Finding the Fourth Proportional to 995.75, 1,374.32 and 576.37

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Solution

The fourth proportional to 995.75, 1,374.32 and 576.37 is: 795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.75 : 1,374.32 = 576.37 : x
  2. Step 2: Convert to fraction form
    995.75/1,374.32 = 576.37/x
  3. Step 3: Cross multiply
    995.75x = 1,374.32 × 576.37
  4. Step 4: Simplify right side
    995.75x = 792,116.82
  5. Step 5: Solve for x
    x = 792,116.82/995.75
  6. Step 6: Final answer
    x = 795.50

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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.