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Finding the Fourth Proportional to 695.38, 1,040.99 and 420.64

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Solution

The fourth proportional to 695.38, 1,040.99 and 420.64 is: 629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.38 : 1,040.99 = 420.64 : x
  2. Step 2: Convert to fraction form
    695.38/1,040.99 = 420.64/x
  3. Step 3: Cross multiply
    695.38x = 1,040.99 × 420.64
  4. Step 4: Simplify right side
    695.38x = 437,882.03
  5. Step 5: Solve for x
    x = 437,882.03/695.38
  6. Step 6: Final answer
    x = 629.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.