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Finding the Fourth Proportional to 962.37, 1,327.37 and 829.85

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Solution

The fourth proportional to 962.37, 1,327.37 and 829.85 is: 1,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.37 : 1,327.37 = 829.85 : x
  2. Step 2: Convert to fraction form
    962.37/1,327.37 = 829.85/x
  3. Step 3: Cross multiply
    962.37x = 1,327.37 × 829.85
  4. Step 4: Simplify right side
    962.37x = 1,101,507.21
  5. Step 5: Solve for x
    x = 1,101,507.21/962.37
  6. Step 6: Final answer
    x = 1,144.58

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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.