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Finding the Fourth Proportional to 996.93, 1,374.59 and 682.35

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Solution

The fourth proportional to 996.93, 1,374.59 and 682.35 is: 940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.93 : 1,374.59 = 682.35 : x
  2. Step 2: Convert to fraction form
    996.93/1,374.59 = 682.35/x
  3. Step 3: Cross multiply
    996.93x = 1,374.59 × 682.35
  4. Step 4: Simplify right side
    996.93x = 937,953.19
  5. Step 5: Solve for x
    x = 937,953.19/996.93
  6. Step 6: Final answer
    x = 940.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.