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Finding the Fourth Proportional to 1,196.70, 1,794.32 and 465.43

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Solution

The fourth proportional to 1,196.70, 1,794.32 and 465.43 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.70 : 1,794.32 = 465.43 : x
  2. Step 2: Convert to fraction form
    1,196.70/1,794.32 = 465.43/x
  3. Step 3: Cross multiply
    1,196.70x = 1,794.32 × 465.43
  4. Step 4: Simplify right side
    1,196.70x = 835,119.06
  5. Step 5: Solve for x
    x = 835,119.06/1,196.70
  6. Step 6: Final answer
    x = 697.85

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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.