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Finding the Fourth Proportional to 1,308.88, 1,963.86 and 443.44

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Solution

The fourth proportional to 1,308.88, 1,963.86 and 443.44 is: 665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.88 : 1,963.86 = 443.44 : x
  2. Step 2: Convert to fraction form
    1,308.88/1,963.86 = 443.44/x
  3. Step 3: Cross multiply
    1,308.88x = 1,963.86 × 443.44
  4. Step 4: Simplify right side
    1,308.88x = 870,854.08
  5. Step 5: Solve for x
    x = 870,854.08/1,308.88
  6. Step 6: Final answer
    x = 665.34

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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.