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Finding the Fourth Proportional to 598.68, 826.92 and 579.54

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Solution

The fourth proportional to 598.68, 826.92 and 579.54 is: 800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 826.92 = 579.54 : x
  2. Step 2: Convert to fraction form
    598.68/826.92 = 579.54/x
  3. Step 3: Cross multiply
    598.68x = 826.92 × 579.54
  4. Step 4: Simplify right side
    598.68x = 479,233.22
  5. Step 5: Solve for x
    x = 479,233.22/598.68
  6. Step 6: Final answer
    x = 800.48

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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.