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Finding the Fourth Proportional to 1,264.23, 1,896.46 and 523.69

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Solution

The fourth proportional to 1,264.23, 1,896.46 and 523.69 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.23 : 1,896.46 = 523.69 : x
  2. Step 2: Convert to fraction form
    1,264.23/1,896.46 = 523.69/x
  3. Step 3: Cross multiply
    1,264.23x = 1,896.46 × 523.69
  4. Step 4: Simplify right side
    1,264.23x = 993,157.14
  5. Step 5: Solve for x
    x = 993,157.14/1,264.23
  6. Step 6: Final answer
    x = 785.58

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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.