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Finding the Fourth Proportional to 866.50, 1,299.92 and 427.82

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Solution

The fourth proportional to 866.50, 1,299.92 and 427.82 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.50 : 1,299.92 = 427.82 : x
  2. Step 2: Convert to fraction form
    866.50/1,299.92 = 427.82/x
  3. Step 3: Cross multiply
    866.50x = 1,299.92 × 427.82
  4. Step 4: Simplify right side
    866.50x = 556,123.14
  5. Step 5: Solve for x
    x = 556,123.14/866.50
  6. Step 6: Final answer
    x = 641.81

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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.