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Finding the Fourth Proportional to 855.95, 1,283.05 and 650.09

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Solution

The fourth proportional to 855.95, 1,283.05 and 650.09 is: 974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.95 : 1,283.05 = 650.09 : x
  2. Step 2: Convert to fraction form
    855.95/1,283.05 = 650.09/x
  3. Step 3: Cross multiply
    855.95x = 1,283.05 × 650.09
  4. Step 4: Simplify right side
    855.95x = 834,097.97
  5. Step 5: Solve for x
    x = 834,097.97/855.95
  6. Step 6: Final answer
    x = 974.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.