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Finding the Fourth Proportional to 1,195.92, 1,793.08 and 415.72

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Solution

The fourth proportional to 1,195.92, 1,793.08 and 415.72 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.92 : 1,793.08 = 415.72 : x
  2. Step 2: Convert to fraction form
    1,195.92/1,793.08 = 415.72/x
  3. Step 3: Cross multiply
    1,195.92x = 1,793.08 × 415.72
  4. Step 4: Simplify right side
    1,195.92x = 745,419.22
  5. Step 5: Solve for x
    x = 745,419.22/1,195.92
  6. Step 6: Final answer
    x = 623.30

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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.