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Finding the Fourth Proportional to 773.44, 1,159.26 and 609.10

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Solution

The fourth proportional to 773.44, 1,159.26 and 609.10 is: 912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.44 : 1,159.26 = 609.10 : x
  2. Step 2: Convert to fraction form
    773.44/1,159.26 = 609.10/x
  3. Step 3: Cross multiply
    773.44x = 1,159.26 × 609.10
  4. Step 4: Simplify right side
    773.44x = 706,105.27
  5. Step 5: Solve for x
    x = 706,105.27/773.44
  6. Step 6: Final answer
    x = 912.94

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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.