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Finding the Fourth Proportional to 1,363.10, 2,043.23 and 631.33

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Solution

The fourth proportional to 1,363.10, 2,043.23 and 631.33 is: 946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.10 : 2,043.23 = 631.33 : x
  2. Step 2: Convert to fraction form
    1,363.10/2,043.23 = 631.33/x
  3. Step 3: Cross multiply
    1,363.10x = 2,043.23 × 631.33
  4. Step 4: Simplify right side
    1,363.10x = 1,289,944.13
  5. Step 5: Solve for x
    x = 1,289,944.13/1,363.10
  6. Step 6: Final answer
    x = 946.33

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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.