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Finding the Fourth Proportional to 605.78, 836.04 and 523.16

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Solution

The fourth proportional to 605.78, 836.04 and 523.16 is: 722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.78 : 836.04 = 523.16 : x
  2. Step 2: Convert to fraction form
    605.78/836.04 = 523.16/x
  3. Step 3: Cross multiply
    605.78x = 836.04 × 523.16
  4. Step 4: Simplify right side
    605.78x = 437,382.69
  5. Step 5: Solve for x
    x = 437,382.69/605.78
  6. Step 6: Final answer
    x = 722.02

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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.