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Finding the Fourth Proportional to 1,403.98, 2,105.52 and 663.49

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Solution

The fourth proportional to 1,403.98, 2,105.52 and 663.49 is: 995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.98 : 2,105.52 = 663.49 : x
  2. Step 2: Convert to fraction form
    1,403.98/2,105.52 = 663.49/x
  3. Step 3: Cross multiply
    1,403.98x = 2,105.52 × 663.49
  4. Step 4: Simplify right side
    1,403.98x = 1,396,993.47
  5. Step 5: Solve for x
    x = 1,396,993.47/1,403.98
  6. Step 6: Final answer
    x = 995.02

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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.