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Finding the Fourth Proportional to 697.44, 960.48 and 682.32

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Solution

The fourth proportional to 697.44, 960.48 and 682.32 is: 939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 960.48 = 682.32 : x
  2. Step 2: Convert to fraction form
    697.44/960.48 = 682.32/x
  3. Step 3: Cross multiply
    697.44x = 960.48 × 682.32
  4. Step 4: Simplify right side
    697.44x = 655,354.71
  5. Step 5: Solve for x
    x = 655,354.71/697.44
  6. Step 6: Final answer
    x = 939.66

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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.