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Finding the Fourth Proportional to 1,195.56, 1,793.64 and 966.52

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Solution

The fourth proportional to 1,195.56, 1,793.64 and 966.52 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.56 : 1,793.64 = 966.52 : x
  2. Step 2: Convert to fraction form
    1,195.56/1,793.64 = 966.52/x
  3. Step 3: Cross multiply
    1,195.56x = 1,793.64 × 966.52
  4. Step 4: Simplify right side
    1,195.56x = 1,733,588.93
  5. Step 5: Solve for x
    x = 1,733,588.93/1,195.56
  6. Step 6: Final answer
    x = 1,450.02

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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.