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Finding the Fourth Proportional to 962.25, 1,327.94 and 696.82

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Solution

The fourth proportional to 962.25, 1,327.94 and 696.82 is: 961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,327.94 = 696.82 : x
  2. Step 2: Convert to fraction form
    962.25/1,327.94 = 696.82/x
  3. Step 3: Cross multiply
    962.25x = 1,327.94 × 696.82
  4. Step 4: Simplify right side
    962.25x = 925,335.15
  5. Step 5: Solve for x
    x = 925,335.15/962.25
  6. Step 6: Final answer
    x = 961.64

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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.