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Finding the Fourth Proportional to 727.79, 1,091.70 and 289.12

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Solution

The fourth proportional to 727.79, 1,091.70 and 289.12 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.79 : 1,091.70 = 289.12 : x
  2. Step 2: Convert to fraction form
    727.79/1,091.70 = 289.12/x
  3. Step 3: Cross multiply
    727.79x = 1,091.70 × 289.12
  4. Step 4: Simplify right side
    727.79x = 315,629.57
  5. Step 5: Solve for x
    x = 315,629.57/727.79
  6. Step 6: Final answer
    x = 433.69

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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.