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Finding the Fourth Proportional to 647.78, 888.81 and 641.66

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Solution

The fourth proportional to 647.78, 888.81 and 641.66 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 888.81 = 641.66 : x
  2. Step 2: Convert to fraction form
    647.78/888.81 = 641.66/x
  3. Step 3: Cross multiply
    647.78x = 888.81 × 641.66
  4. Step 4: Simplify right side
    647.78x = 570,310.62
  5. Step 5: Solve for x
    x = 570,310.62/647.78
  6. Step 6: Final answer
    x = 880.41

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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.