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Finding the Fourth Proportional to 727.52, 1,091.49 and 419.59

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Solution

The fourth proportional to 727.52, 1,091.49 and 419.59 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.52 : 1,091.49 = 419.59 : x
  2. Step 2: Convert to fraction form
    727.52/1,091.49 = 419.59/x
  3. Step 3: Cross multiply
    727.52x = 1,091.49 × 419.59
  4. Step 4: Simplify right side
    727.52x = 457,980.24
  5. Step 5: Solve for x
    x = 457,980.24/727.52
  6. Step 6: Final answer
    x = 629.51

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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.