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Finding the Fourth Proportional to 598.55, 825.05 and 548.33

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Solution

The fourth proportional to 598.55, 825.05 and 548.33 is: 755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.55 : 825.05 = 548.33 : x
  2. Step 2: Convert to fraction form
    598.55/825.05 = 548.33/x
  3. Step 3: Cross multiply
    598.55x = 825.05 × 548.33
  4. Step 4: Simplify right side
    598.55x = 452,395.54
  5. Step 5: Solve for x
    x = 452,395.54/598.55
  6. Step 6: Final answer
    x = 755.83

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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.