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Finding the Fourth Proportional to 996.46, 1,374.96 and 576.84

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Solution

The fourth proportional to 996.46, 1,374.96 and 576.84 is: 795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.46 : 1,374.96 = 576.84 : x
  2. Step 2: Convert to fraction form
    996.46/1,374.96 = 576.84/x
  3. Step 3: Cross multiply
    996.46x = 1,374.96 × 576.84
  4. Step 4: Simplify right side
    996.46x = 793,131.93
  5. Step 5: Solve for x
    x = 793,131.93/996.46
  6. Step 6: Final answer
    x = 795.95

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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.