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Finding the Fourth Proportional to 1,149.84, 1,725.24 and 419.49

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Solution

The fourth proportional to 1,149.84, 1,725.24 and 419.49 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.84 : 1,725.24 = 419.49 : x
  2. Step 2: Convert to fraction form
    1,149.84/1,725.24 = 419.49/x
  3. Step 3: Cross multiply
    1,149.84x = 1,725.24 × 419.49
  4. Step 4: Simplify right side
    1,149.84x = 723,720.93
  5. Step 5: Solve for x
    x = 723,720.93/1,149.84
  6. Step 6: Final answer
    x = 629.41

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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.