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Finding the Fourth Proportional to 727.70, 1,091.73 and 342.50

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Solution

The fourth proportional to 727.70, 1,091.73 and 342.50 is: 513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.70 : 1,091.73 = 342.50 : x
  2. Step 2: Convert to fraction form
    727.70/1,091.73 = 342.50/x
  3. Step 3: Cross multiply
    727.70x = 1,091.73 × 342.50
  4. Step 4: Simplify right side
    727.70x = 373,917.53
  5. Step 5: Solve for x
    x = 373,917.53/727.70
  6. Step 6: Final answer
    x = 513.83

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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.