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Finding the Fourth Proportional to 963, 1,443.26 and 442.96

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Solution

The fourth proportional to 963, 1,443.26 and 442.96 is: 663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    963 : 1,443.26 = 442.96 : x
  2. Step 2: Convert to fraction form
    963/1,443.26 = 442.96/x
  3. Step 3: Cross multiply
    963x = 1,443.26 × 442.96
  4. Step 4: Simplify right side
    963x = 639,306.45
  5. Step 5: Solve for x
    x = 639,306.45/963
  6. Step 6: Final answer
    x = 663.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.