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Finding the Fourth Proportional to 598.70, 825.45 and 511.22

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Solution

The fourth proportional to 598.70, 825.45 and 511.22 is: 704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 825.45 = 511.22 : x
  2. Step 2: Convert to fraction form
    598.70/825.45 = 511.22/x
  3. Step 3: Cross multiply
    598.70x = 825.45 × 511.22
  4. Step 4: Simplify right side
    598.70x = 421,986.55
  5. Step 5: Solve for x
    x = 421,986.55/598.70
  6. Step 6: Final answer
    x = 704.84

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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.