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Finding the Fourth Proportional to 963.98, 1,445.97 and 759.63

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Solution

The fourth proportional to 963.98, 1,445.97 and 759.63 is: 1,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.98 : 1,445.97 = 759.63 : x
  2. Step 2: Convert to fraction form
    963.98/1,445.97 = 759.63/x
  3. Step 3: Cross multiply
    963.98x = 1,445.97 × 759.63
  4. Step 4: Simplify right side
    963.98x = 1,098,402.19
  5. Step 5: Solve for x
    x = 1,098,402.19/963.98
  6. Step 6: Final answer
    x = 1,139.45

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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.