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Finding the Fourth Proportional to 1,287.44, 1,930.76 and 547.04

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Solution

The fourth proportional to 1,287.44, 1,930.76 and 547.04 is: 820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.44 : 1,930.76 = 547.04 : x
  2. Step 2: Convert to fraction form
    1,287.44/1,930.76 = 547.04/x
  3. Step 3: Cross multiply
    1,287.44x = 1,930.76 × 547.04
  4. Step 4: Simplify right side
    1,287.44x = 1,056,190.56
  5. Step 5: Solve for x
    x = 1,056,190.56/1,287.44
  6. Step 6: Final answer
    x = 820.38

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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.