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Finding the Fourth Proportional to 695.48, 954.46 and 629.84

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Solution

The fourth proportional to 695.48, 954.46 and 629.84 is: 864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.48 : 954.46 = 629.84 : x
  2. Step 2: Convert to fraction form
    695.48/954.46 = 629.84/x
  3. Step 3: Cross multiply
    695.48x = 954.46 × 629.84
  4. Step 4: Simplify right side
    695.48x = 601,157.09
  5. Step 5: Solve for x
    x = 601,157.09/695.48
  6. Step 6: Final answer
    x = 864.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.