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Finding the Fourth Proportional to 728.58, 1,092.86 and 546.92

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Solution

The fourth proportional to 728.58, 1,092.86 and 546.92 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.58 : 1,092.86 = 546.92 : x
  2. Step 2: Convert to fraction form
    728.58/1,092.86 = 546.92/x
  3. Step 3: Cross multiply
    728.58x = 1,092.86 × 546.92
  4. Step 4: Simplify right side
    728.58x = 597,706.99
  5. Step 5: Solve for x
    x = 597,706.99/728.58
  6. Step 6: Final answer
    x = 820.37

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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.