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Finding the Fourth Proportional to 727.68, 1,091.70 and 342.84

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Solution

The fourth proportional to 727.68, 1,091.70 and 342.84 is: 514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,091.70 = 342.84 : x
  2. Step 2: Convert to fraction form
    727.68/1,091.70 = 342.84/x
  3. Step 3: Cross multiply
    727.68x = 1,091.70 × 342.84
  4. Step 4: Simplify right side
    727.68x = 374,278.43
  5. Step 5: Solve for x
    x = 374,278.43/727.68
  6. Step 6: Final answer
    x = 514.34

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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.