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Finding the Fourth Proportional to 600.96, 901.44 and 504.96

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Solution

The fourth proportional to 600.96, 901.44 and 504.96 is: 757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 901.44 = 504.96 : x
  2. Step 2: Convert to fraction form
    600.96/901.44 = 504.96/x
  3. Step 3: Cross multiply
    600.96x = 901.44 × 504.96
  4. Step 4: Simplify right side
    600.96x = 455,191.14
  5. Step 5: Solve for x
    x = 455,191.14/600.96
  6. Step 6: Final answer
    x = 757.44

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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.