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Finding the Fourth Proportional to 610.92, 843.66 and 523.08

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Solution

The fourth proportional to 610.92, 843.66 and 523.08 is: 722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.92 : 843.66 = 523.08 : x
  2. Step 2: Convert to fraction form
    610.92/843.66 = 523.08/x
  3. Step 3: Cross multiply
    610.92x = 843.66 × 523.08
  4. Step 4: Simplify right side
    610.92x = 441,301.67
  5. Step 5: Solve for x
    x = 441,301.67/610.92
  6. Step 6: Final answer
    x = 722.36

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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.