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Finding the Fourth Proportional to 1,195.64, 1,793.04 and 415.61

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Solution

The fourth proportional to 1,195.64, 1,793.04 and 415.61 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.64 : 1,793.04 = 415.61 : x
  2. Step 2: Convert to fraction form
    1,195.64/1,793.04 = 415.61/x
  3. Step 3: Cross multiply
    1,195.64x = 1,793.04 × 415.61
  4. Step 4: Simplify right side
    1,195.64x = 745,205.35
  5. Step 5: Solve for x
    x = 745,205.35/1,195.64
  6. Step 6: Final answer
    x = 623.27

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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.