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Finding the Fourth Proportional to 641.54, 963.62 and 566.21

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Solution

The fourth proportional to 641.54, 963.62 and 566.21 is: 850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.54 : 963.62 = 566.21 : x
  2. Step 2: Convert to fraction form
    641.54/963.62 = 566.21/x
  3. Step 3: Cross multiply
    641.54x = 963.62 × 566.21
  4. Step 4: Simplify right side
    641.54x = 545,612.98
  5. Step 5: Solve for x
    x = 545,612.98/641.54
  6. Step 6: Final answer
    x = 850.47

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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.