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Finding the Fourth Proportional to 963.25, 1,443.96 and 476.03

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Solution

The fourth proportional to 963.25, 1,443.96 and 476.03 is: 713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.25 : 1,443.96 = 476.03 : x
  2. Step 2: Convert to fraction form
    963.25/1,443.96 = 476.03/x
  3. Step 3: Cross multiply
    963.25x = 1,443.96 × 476.03
  4. Step 4: Simplify right side
    963.25x = 687,371.89
  5. Step 5: Solve for x
    x = 687,371.89/963.25
  6. Step 6: Final answer
    x = 713.60

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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.