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Finding the Fourth Proportional to 1,245.65, 1,869.62 and 629.78

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Solution

The fourth proportional to 1,245.65, 1,869.62 and 629.78 is: 945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.65 : 1,869.62 = 629.78 : x
  2. Step 2: Convert to fraction form
    1,245.65/1,869.62 = 629.78/x
  3. Step 3: Cross multiply
    1,245.65x = 1,869.62 × 629.78
  4. Step 4: Simplify right side
    1,245.65x = 1,177,449.28
  5. Step 5: Solve for x
    x = 1,177,449.28/1,245.65
  6. Step 6: Final answer
    x = 945.25

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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.