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Finding the Fourth Proportional to 962, 1,327.68 and 728.72

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Solution

The fourth proportional to 962, 1,327.68 and 728.72 is: 1,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    962 : 1,327.68 = 728.72 : x
  2. Step 2: Convert to fraction form
    962/1,327.68 = 728.72/x
  3. Step 3: Cross multiply
    962x = 1,327.68 × 728.72
  4. Step 4: Simplify right side
    962x = 967,506.97
  5. Step 5: Solve for x
    x = 967,506.97/962
  6. Step 6: Final answer
    x = 1,005.72

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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.