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Finding the Fourth Proportional to 1,287.67, 1,929.87 and 1,073.83

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Solution

The fourth proportional to 1,287.67, 1,929.87 and 1,073.83 is: 1,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.67 : 1,929.87 = 1,073.83 : x
  2. Step 2: Convert to fraction form
    1,287.67/1,929.87 = 1,073.83/x
  3. Step 3: Cross multiply
    1,287.67x = 1,929.87 × 1,073.83
  4. Step 4: Simplify right side
    1,287.67x = 2,072,352.30
  5. Step 5: Solve for x
    x = 2,072,352.30/1,287.67
  6. Step 6: Final answer
    x = 1,609.38

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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.