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Finding the Fourth Proportional to 1,289.30, 1,778.49 and 791.55

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Solution

The fourth proportional to 1,289.30, 1,778.49 and 791.55 is: 1,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.30 : 1,778.49 = 791.55 : x
  2. Step 2: Convert to fraction form
    1,289.30/1,778.49 = 791.55/x
  3. Step 3: Cross multiply
    1,289.30x = 1,778.49 × 791.55
  4. Step 4: Simplify right side
    1,289.30x = 1,407,763.76
  5. Step 5: Solve for x
    x = 1,407,763.76/1,289.30
  6. Step 6: Final answer
    x = 1,091.89

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1.5x scale

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.