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Finding the Fourth Proportional to 822.02, 1,230.23 and 640.25

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Solution

The fourth proportional to 822.02, 1,230.23 and 640.25 is: 958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.02 : 1,230.23 = 640.25 : x
  2. Step 2: Convert to fraction form
    822.02/1,230.23 = 640.25/x
  3. Step 3: Cross multiply
    822.02x = 1,230.23 × 640.25
  4. Step 4: Simplify right side
    822.02x = 787,650.21
  5. Step 5: Solve for x
    x = 787,650.21/822.02
  6. Step 6: Final answer
    x = 958.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.