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Finding the Fourth Proportional to 1,289.12, 1,779.12 and 791.87

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Solution

The fourth proportional to 1,289.12, 1,779.12 and 791.87 is: 1,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.12 : 1,779.12 = 791.87 : x
  2. Step 2: Convert to fraction form
    1,289.12/1,779.12 = 791.87/x
  3. Step 3: Cross multiply
    1,289.12x = 1,779.12 × 791.87
  4. Step 4: Simplify right side
    1,289.12x = 1,408,822.86
  5. Step 5: Solve for x
    x = 1,408,822.86/1,289.12
  6. Step 6: Final answer
    x = 1,092.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.