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Finding the Fourth Proportional to 641.59, 884.79 and 517.19

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Solution

The fourth proportional to 641.59, 884.79 and 517.19 is: 713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.59 : 884.79 = 517.19 : x
  2. Step 2: Convert to fraction form
    641.59/884.79 = 517.19/x
  3. Step 3: Cross multiply
    641.59x = 884.79 × 517.19
  4. Step 4: Simplify right side
    641.59x = 457,600.12
  5. Step 5: Solve for x
    x = 457,600.12/641.59
  6. Step 6: Final answer
    x = 713.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.