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Finding the Fourth Proportional to 598.80, 826.10 and 481.07

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Solution

The fourth proportional to 598.80, 826.10 and 481.07 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 826.10 = 481.07 : x
  2. Step 2: Convert to fraction form
    598.80/826.10 = 481.07/x
  3. Step 3: Cross multiply
    598.80x = 826.10 × 481.07
  4. Step 4: Simplify right side
    598.80x = 397,411.93
  5. Step 5: Solve for x
    x = 397,411.93/598.80
  6. Step 6: Final answer
    x = 663.68

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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.