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Finding the Fourth Proportional to 963.90, 1,443.69 and 746.82

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Solution

The fourth proportional to 963.90, 1,443.69 and 746.82 is: 1,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.90 : 1,443.69 = 746.82 : x
  2. Step 2: Convert to fraction form
    963.90/1,443.69 = 746.82/x
  3. Step 3: Cross multiply
    963.90x = 1,443.69 × 746.82
  4. Step 4: Simplify right side
    963.90x = 1,078,176.57
  5. Step 5: Solve for x
    x = 1,078,176.57/963.90
  6. Step 6: Final answer
    x = 1,118.56

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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.