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Finding the Fourth Proportional to 1,363.69, 2,046.12 and 633.43

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Solution

The fourth proportional to 1,363.69, 2,046.12 and 633.43 is: 950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.69 : 2,046.12 = 633.43 : x
  2. Step 2: Convert to fraction form
    1,363.69/2,046.12 = 633.43/x
  3. Step 3: Cross multiply
    1,363.69x = 2,046.12 × 633.43
  4. Step 4: Simplify right side
    1,363.69x = 1,296,073.79
  5. Step 5: Solve for x
    x = 1,296,073.79/1,363.69
  6. Step 6: Final answer
    x = 950.42

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