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Finding the Fourth Proportional to 1,245.69, 1,867.74 and 412.45

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Solution

The fourth proportional to 1,245.69, 1,867.74 and 412.45 is: 618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.69 : 1,867.74 = 412.45 : x
  2. Step 2: Convert to fraction form
    1,245.69/1,867.74 = 412.45/x
  3. Step 3: Cross multiply
    1,245.69x = 1,867.74 × 412.45
  4. Step 4: Simplify right side
    1,245.69x = 770,349.36
  5. Step 5: Solve for x
    x = 770,349.36/1,245.69
  6. Step 6: Final answer
    x = 618.41

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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.