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Finding the Fourth Proportional to 996.02, 1,374.73 and 646.10

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Solution

The fourth proportional to 996.02, 1,374.73 and 646.10 is: 891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.02 : 1,374.73 = 646.10 : x
  2. Step 2: Convert to fraction form
    996.02/1,374.73 = 646.10/x
  3. Step 3: Cross multiply
    996.02x = 1,374.73 × 646.10
  4. Step 4: Simplify right side
    996.02x = 888,204.56
  5. Step 5: Solve for x
    x = 888,204.56/996.02
  6. Step 6: Final answer
    x = 891.76

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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.