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Finding the Fourth Proportional to 996.63, 1,494.93 and 448.42

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Solution

The fourth proportional to 996.63, 1,494.93 and 448.42 is: 672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.63 : 1,494.93 = 448.42 : x
  2. Step 2: Convert to fraction form
    996.63/1,494.93 = 448.42/x
  3. Step 3: Cross multiply
    996.63x = 1,494.93 × 448.42
  4. Step 4: Simplify right side
    996.63x = 670,354.27
  5. Step 5: Solve for x
    x = 670,354.27/996.63
  6. Step 6: Final answer
    x = 672.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.