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Finding the Fourth Proportional to 727.40, 1,091.17 and 418.66

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Solution

The fourth proportional to 727.40, 1,091.17 and 418.66 is: 628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.40 : 1,091.17 = 418.66 : x
  2. Step 2: Convert to fraction form
    727.40/1,091.17 = 418.66/x
  3. Step 3: Cross multiply
    727.40x = 1,091.17 × 418.66
  4. Step 4: Simplify right side
    727.40x = 456,829.23
  5. Step 5: Solve for x
    x = 456,829.23/727.40
  6. Step 6: Final answer
    x = 628.03

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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.