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Finding the Fourth Proportional to 599.48, 821.89 and 588.52

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Solution

The fourth proportional to 599.48, 821.89 and 588.52 is: 806.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.48 : 821.89 = 588.52 : x
  2. Step 2: Convert to fraction form
    599.48/821.89 = 588.52/x
  3. Step 3: Cross multiply
    599.48x = 821.89 × 588.52
  4. Step 4: Simplify right side
    599.48x = 483,698.70
  5. Step 5: Solve for x
    x = 483,698.70/599.48
  6. Step 6: Final answer
    x = 806.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.