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Finding the Fourth Proportional to 727.32, 1,093.14 and 342.84

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Solution

The fourth proportional to 727.32, 1,093.14 and 342.84 is: 515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.32 : 1,093.14 = 342.84 : x
  2. Step 2: Convert to fraction form
    727.32/1,093.14 = 342.84/x
  3. Step 3: Cross multiply
    727.32x = 1,093.14 × 342.84
  4. Step 4: Simplify right side
    727.32x = 374,772.12
  5. Step 5: Solve for x
    x = 374,772.12/727.32
  6. Step 6: Final answer
    x = 515.28

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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.