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Finding the Fourth Proportional to 963.24, 1,327.62 and 730.44

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Solution

The fourth proportional to 963.24, 1,327.62 and 730.44 is: 1,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.24 : 1,327.62 = 730.44 : x
  2. Step 2: Convert to fraction form
    963.24/1,327.62 = 730.44/x
  3. Step 3: Cross multiply
    963.24x = 1,327.62 × 730.44
  4. Step 4: Simplify right side
    963.24x = 969,746.75
  5. Step 5: Solve for x
    x = 969,746.75/963.24
  6. Step 6: Final answer
    x = 1,006.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.