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Finding the Fourth Proportional to 599.70, 822.18 and 588.76

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Solution

The fourth proportional to 599.70, 822.18 and 588.76 is: 807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 822.18 = 588.76 : x
  2. Step 2: Convert to fraction form
    599.70/822.18 = 588.76/x
  3. Step 3: Cross multiply
    599.70x = 822.18 × 588.76
  4. Step 4: Simplify right side
    599.70x = 484,067.43
  5. Step 5: Solve for x
    x = 484,067.43/599.70
  6. Step 6: Final answer
    x = 807.19

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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.