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Finding the Fourth Proportional to 697.53, 955.26 and 688.42

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Solution

The fourth proportional to 697.53, 955.26 and 688.42 is: 942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.53 : 955.26 = 688.42 : x
  2. Step 2: Convert to fraction form
    697.53/955.26 = 688.42/x
  3. Step 3: Cross multiply
    697.53x = 955.26 × 688.42
  4. Step 4: Simplify right side
    697.53x = 657,617.70
  5. Step 5: Solve for x
    x = 657,617.70/697.53
  6. Step 6: Final answer
    x = 942.78

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