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Finding the Fourth Proportional to 727.70, 1,092.05 and 294.86

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Solution

The fourth proportional to 727.70, 1,092.05 and 294.86 is: 442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.70 : 1,092.05 = 294.86 : x
  2. Step 2: Convert to fraction form
    727.70/1,092.05 = 294.86/x
  3. Step 3: Cross multiply
    727.70x = 1,092.05 × 294.86
  4. Step 4: Simplify right side
    727.70x = 321,994.93
  5. Step 5: Solve for x
    x = 321,994.93/727.70
  6. Step 6: Final answer
    x = 442.49

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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.