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Finding the Fourth Proportional to 1,496.96, 2,245.82 and 523.08

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Solution

The fourth proportional to 1,496.96, 2,245.82 and 523.08 is: 784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.96 : 2,245.82 = 523.08 : x
  2. Step 2: Convert to fraction form
    1,496.96/2,245.82 = 523.08/x
  3. Step 3: Cross multiply
    1,496.96x = 2,245.82 × 523.08
  4. Step 4: Simplify right side
    1,496.96x = 1,174,743.53
  5. Step 5: Solve for x
    x = 1,174,743.53/1,496.96
  6. Step 6: Final answer
    x = 784.75

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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.