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Finding the Fourth Proportional to 817.81, 1,128.31 and 523.26

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Solution

The fourth proportional to 817.81, 1,128.31 and 523.26 is: 721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.81 : 1,128.31 = 523.26 : x
  2. Step 2: Convert to fraction form
    817.81/1,128.31 = 523.26/x
  3. Step 3: Cross multiply
    817.81x = 1,128.31 × 523.26
  4. Step 4: Simplify right side
    817.81x = 590,399.49
  5. Step 5: Solve for x
    x = 590,399.49/817.81
  6. Step 6: Final answer
    x = 721.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.