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Finding the Fourth Proportional to 963.43, 1,443.76 and 475.91

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Solution

The fourth proportional to 963.43, 1,443.76 and 475.91 is: 713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.43 : 1,443.76 = 475.91 : x
  2. Step 2: Convert to fraction form
    963.43/1,443.76 = 475.91/x
  3. Step 3: Cross multiply
    963.43x = 1,443.76 × 475.91
  4. Step 4: Simplify right side
    963.43x = 687,096.83
  5. Step 5: Solve for x
    x = 687,096.83/963.43
  6. Step 6: Final answer
    x = 713.18

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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.