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Finding the Fourth Proportional to 641.69, 884.00 and 610.42

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Solution

The fourth proportional to 641.69, 884.00 and 610.42 is: 840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.69 : 884.00 = 610.42 : x
  2. Step 2: Convert to fraction form
    641.69/884.00 = 610.42/x
  3. Step 3: Cross multiply
    641.69x = 884.00 × 610.42
  4. Step 4: Simplify right side
    641.69x = 539,613.19
  5. Step 5: Solve for x
    x = 539,613.19/641.69
  6. Step 6: Final answer
    x = 840.92

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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.