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Finding the Fourth Proportional to 727.67, 1,091.48 and 419.28

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Solution

The fourth proportional to 727.67, 1,091.48 and 419.28 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.67 : 1,091.48 = 419.28 : x
  2. Step 2: Convert to fraction form
    727.67/1,091.48 = 419.28/x
  3. Step 3: Cross multiply
    727.67x = 1,091.48 × 419.28
  4. Step 4: Simplify right side
    727.67x = 457,633.64
  5. Step 5: Solve for x
    x = 457,633.64/727.67
  6. Step 6: Final answer
    x = 628.91

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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.