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Finding the Fourth Proportional to 996.12, 1,374.81 and 830.07

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Solution

The fourth proportional to 996.12, 1,374.81 and 830.07 is: 1,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.12 : 1,374.81 = 830.07 : x
  2. Step 2: Convert to fraction form
    996.12/1,374.81 = 830.07/x
  3. Step 3: Cross multiply
    996.12x = 1,374.81 × 830.07
  4. Step 4: Simplify right side
    996.12x = 1,141,188.54
  5. Step 5: Solve for x
    x = 1,141,188.54/996.12
  6. Step 6: Final answer
    x = 1,145.63

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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.