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Finding the Fourth Proportional to 963.91, 1,443.17 and 523.58

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Solution

The fourth proportional to 963.91, 1,443.17 and 523.58 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.91 : 1,443.17 = 523.58 : x
  2. Step 2: Convert to fraction form
    963.91/1,443.17 = 523.58/x
  3. Step 3: Cross multiply
    963.91x = 1,443.17 × 523.58
  4. Step 4: Simplify right side
    963.91x = 755,614.95
  5. Step 5: Solve for x
    x = 755,614.95/963.91
  6. Step 6: Final answer
    x = 783.91

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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.