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Finding the Fourth Proportional to 1,770.75, 2,655.97 and 600.73

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Solution

The fourth proportional to 1,770.75, 2,655.97 and 600.73 is: 901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.75 : 2,655.97 = 600.73 : x
  2. Step 2: Convert to fraction form
    1,770.75/2,655.97 = 600.73/x
  3. Step 3: Cross multiply
    1,770.75x = 2,655.97 × 600.73
  4. Step 4: Simplify right side
    1,770.75x = 1,595,520.86
  5. Step 5: Solve for x
    x = 1,595,520.86/1,770.75
  6. Step 6: Final answer
    x = 901.04

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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.