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Finding the Fourth Proportional to 1,779.44, 2,671.36 and 843.28

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Solution

The fourth proportional to 1,779.44, 2,671.36 and 843.28 is: 1,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.44 : 2,671.36 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,779.44/2,671.36 = 843.28/x
  3. Step 3: Cross multiply
    1,779.44x = 2,671.36 × 843.28
  4. Step 4: Simplify right side
    1,779.44x = 2,252,704.46
  5. Step 5: Solve for x
    x = 2,252,704.46/1,779.44
  6. Step 6: Final answer
    x = 1,265.96

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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.