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Finding the Fourth Proportional to 697.72, 1,044.96 and 523.84

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Solution

The fourth proportional to 697.72, 1,044.96 and 523.84 is: 784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.72 : 1,044.96 = 523.84 : x
  2. Step 2: Convert to fraction form
    697.72/1,044.96 = 523.84/x
  3. Step 3: Cross multiply
    697.72x = 1,044.96 × 523.84
  4. Step 4: Simplify right side
    697.72x = 547,391.85
  5. Step 5: Solve for x
    x = 547,391.85/697.72
  6. Step 6: Final answer
    x = 784.54

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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.