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Finding the Fourth Proportional to 962.83, 1,327.94 and 697.31

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Solution

The fourth proportional to 962.83, 1,327.94 and 697.31 is: 961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.83 : 1,327.94 = 697.31 : x
  2. Step 2: Convert to fraction form
    962.83/1,327.94 = 697.31/x
  3. Step 3: Cross multiply
    962.83x = 1,327.94 × 697.31
  4. Step 4: Simplify right side
    962.83x = 925,985.84
  5. Step 5: Solve for x
    x = 925,985.84/962.83
  6. Step 6: Final answer
    x = 961.73

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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.