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Finding the Fourth Proportional to 730.79, 1,096.73 and 523.43

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Solution

The fourth proportional to 730.79, 1,096.73 and 523.43 is: 785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.79 : 1,096.73 = 523.43 : x
  2. Step 2: Convert to fraction form
    730.79/1,096.73 = 523.43/x
  3. Step 3: Cross multiply
    730.79x = 1,096.73 × 523.43
  4. Step 4: Simplify right side
    730.79x = 574,058.77
  5. Step 5: Solve for x
    x = 574,058.77/730.79
  6. Step 6: Final answer
    x = 785.53

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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.