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Finding the Fourth Proportional to 727.87, 1,092.06 and 289.32

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Solution

The fourth proportional to 727.87, 1,092.06 and 289.32 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.87 : 1,092.06 = 289.32 : x
  2. Step 2: Convert to fraction form
    727.87/1,092.06 = 289.32/x
  3. Step 3: Cross multiply
    727.87x = 1,092.06 × 289.32
  4. Step 4: Simplify right side
    727.87x = 315,954.80
  5. Step 5: Solve for x
    x = 315,954.80/727.87
  6. Step 6: Final answer
    x = 434.08

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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.