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Finding the Fourth Proportional to 855.41, 1,282.16 and 650.88

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Solution

The fourth proportional to 855.41, 1,282.16 and 650.88 is: 975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.41 : 1,282.16 = 650.88 : x
  2. Step 2: Convert to fraction form
    855.41/1,282.16 = 650.88/x
  3. Step 3: Cross multiply
    855.41x = 1,282.16 × 650.88
  4. Step 4: Simplify right side
    855.41x = 834,529.05
  5. Step 5: Solve for x
    x = 834,529.05/855.41
  6. Step 6: Final answer
    x = 975.60

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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.