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Finding the Fourth Proportional to 599.57, 822.01 and 588.64

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Solution

The fourth proportional to 599.57, 822.01 and 588.64 is: 807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.57 : 822.01 = 588.64 : x
  2. Step 2: Convert to fraction form
    599.57/822.01 = 588.64/x
  3. Step 3: Cross multiply
    599.57x = 822.01 × 588.64
  4. Step 4: Simplify right side
    599.57x = 483,863.86
  5. Step 5: Solve for x
    x = 483,863.86/599.57
  6. Step 6: Final answer
    x = 807.02

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