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Finding the Fourth Proportional to 1,265.21, 1,896.54 and 523.80

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Solution

The fourth proportional to 1,265.21, 1,896.54 and 523.80 is: 785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.21 : 1,896.54 = 523.80 : x
  2. Step 2: Convert to fraction form
    1,265.21/1,896.54 = 523.80/x
  3. Step 3: Cross multiply
    1,265.21x = 1,896.54 × 523.80
  4. Step 4: Simplify right side
    1,265.21x = 993,405.03
  5. Step 5: Solve for x
    x = 993,405.03/1,265.21
  6. Step 6: Final answer
    x = 785.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.