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Finding the Fourth Proportional to 598.67, 825.23 and 548.45

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Solution

The fourth proportional to 598.67, 825.23 and 548.45 is: 756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 825.23 = 548.45 : x
  2. Step 2: Convert to fraction form
    598.67/825.23 = 548.45/x
  3. Step 3: Cross multiply
    598.67x = 825.23 × 548.45
  4. Step 4: Simplify right side
    598.67x = 452,594.65
  5. Step 5: Solve for x
    x = 452,594.65/598.67
  6. Step 6: Final answer
    x = 756.00

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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.