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Finding the Fourth Proportional to 866.50, 1,306.25 and 853.54

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Solution

The fourth proportional to 866.50, 1,306.25 and 853.54 is: 1,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.50 : 1,306.25 = 853.54 : x
  2. Step 2: Convert to fraction form
    866.50/1,306.25 = 853.54/x
  3. Step 3: Cross multiply
    866.50x = 1,306.25 × 853.54
  4. Step 4: Simplify right side
    866.50x = 1,114,936.63
  5. Step 5: Solve for x
    x = 1,114,936.63/866.50
  6. Step 6: Final answer
    x = 1,286.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.