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Finding the Fourth Proportional to 892.80, 1,339.14 and 866.06

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Solution

The fourth proportional to 892.80, 1,339.14 and 866.06 is: 1,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,339.14 = 866.06 : x
  2. Step 2: Convert to fraction form
    892.80/1,339.14 = 866.06/x
  3. Step 3: Cross multiply
    892.80x = 1,339.14 × 866.06
  4. Step 4: Simplify right side
    892.80x = 1,159,775.59
  5. Step 5: Solve for x
    x = 1,159,775.59/892.80
  6. Step 6: Final answer
    x = 1,299.03

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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.