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Finding the Fourth Proportional to 1,196.85, 1,795.48 and 375.21

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Solution

The fourth proportional to 1,196.85, 1,795.48 and 375.21 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.85 : 1,795.48 = 375.21 : x
  2. Step 2: Convert to fraction form
    1,196.85/1,795.48 = 375.21/x
  3. Step 3: Cross multiply
    1,196.85x = 1,795.48 × 375.21
  4. Step 4: Simplify right side
    1,196.85x = 673,682.05
  5. Step 5: Solve for x
    x = 673,682.05/1,196.85
  6. Step 6: Final answer
    x = 562.88

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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.