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Finding the Fourth Proportional to 727.69, 1,093.57 and 435.23

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Solution

The fourth proportional to 727.69, 1,093.57 and 435.23 is: 654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.69 : 1,093.57 = 435.23 : x
  2. Step 2: Convert to fraction form
    727.69/1,093.57 = 435.23/x
  3. Step 3: Cross multiply
    727.69x = 1,093.57 × 435.23
  4. Step 4: Simplify right side
    727.69x = 475,954.47
  5. Step 5: Solve for x
    x = 475,954.47/727.69
  6. Step 6: Final answer
    x = 654.06

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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.