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Finding the Fourth Proportional to 696.97, 962.04 and 475.84

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Solution

The fourth proportional to 696.97, 962.04 and 475.84 is: 656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.97 : 962.04 = 475.84 : x
  2. Step 2: Convert to fraction form
    696.97/962.04 = 475.84/x
  3. Step 3: Cross multiply
    696.97x = 962.04 × 475.84
  4. Step 4: Simplify right side
    696.97x = 457,777.11
  5. Step 5: Solve for x
    x = 457,777.11/696.97
  6. Step 6: Final answer
    x = 656.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.