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Finding the Fourth Proportional to 995.54, 1,374.34 and 682.46

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Solution

The fourth proportional to 995.54, 1,374.34 and 682.46 is: 942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.54 : 1,374.34 = 682.46 : x
  2. Step 2: Convert to fraction form
    995.54/1,374.34 = 682.46/x
  3. Step 3: Cross multiply
    995.54x = 1,374.34 × 682.46
  4. Step 4: Simplify right side
    995.54x = 937,932.08
  5. Step 5: Solve for x
    x = 937,932.08/995.54
  6. Step 6: Final answer
    x = 942.13

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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.