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Finding the Fourth Proportional to 1,195.36, 1,793.34 and 465.14

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Solution

The fourth proportional to 1,195.36, 1,793.34 and 465.14 is: 697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.36 : 1,793.34 = 465.14 : x
  2. Step 2: Convert to fraction form
    1,195.36/1,793.34 = 465.14/x
  3. Step 3: Cross multiply
    1,195.36x = 1,793.34 × 465.14
  4. Step 4: Simplify right side
    1,195.36x = 834,158.65
  5. Step 5: Solve for x
    x = 834,158.65/1,195.36
  6. Step 6: Final answer
    x = 697.83

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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.