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Finding the Fourth Proportional to 605.60, 909.78 and 523.64

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Solution

The fourth proportional to 605.60, 909.78 and 523.64 is: 786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.60 : 909.78 = 523.64 : x
  2. Step 2: Convert to fraction form
    605.60/909.78 = 523.64/x
  3. Step 3: Cross multiply
    605.60x = 909.78 × 523.64
  4. Step 4: Simplify right side
    605.60x = 476,397.20
  5. Step 5: Solve for x
    x = 476,397.20/605.60
  6. Step 6: Final answer
    x = 786.65

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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.