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Finding the Fourth Proportional to 857.80, 1,284.54 and 665.56

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Solution

The fourth proportional to 857.80, 1,284.54 and 665.56 is: 996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.80 : 1,284.54 = 665.56 : x
  2. Step 2: Convert to fraction form
    857.80/1,284.54 = 665.56/x
  3. Step 3: Cross multiply
    857.80x = 1,284.54 × 665.56
  4. Step 4: Simplify right side
    857.80x = 854,938.44
  5. Step 5: Solve for x
    x = 854,938.44/857.80
  6. Step 6: Final answer
    x = 996.66

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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.