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Finding the Fourth Proportional to 1,419.69, 2,129.49 and 445.80

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Solution

The fourth proportional to 1,419.69, 2,129.49 and 445.80 is: 668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.69 : 2,129.49 = 445.80 : x
  2. Step 2: Convert to fraction form
    1,419.69/2,129.49 = 445.80/x
  3. Step 3: Cross multiply
    1,419.69x = 2,129.49 × 445.80
  4. Step 4: Simplify right side
    1,419.69x = 949,326.64
  5. Step 5: Solve for x
    x = 949,326.64/1,419.69
  6. Step 6: Final answer
    x = 668.69

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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.