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Finding the Fourth Proportional to 728.68, 1,093.03 and 406.10

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Solution

The fourth proportional to 728.68, 1,093.03 and 406.10 is: 609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.68 : 1,093.03 = 406.10 : x
  2. Step 2: Convert to fraction form
    728.68/1,093.03 = 406.10/x
  3. Step 3: Cross multiply
    728.68x = 1,093.03 × 406.10
  4. Step 4: Simplify right side
    728.68x = 443,876.75
  5. Step 5: Solve for x
    x = 443,876.75/728.68
  6. Step 6: Final answer
    x = 609.15

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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.