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Finding the Fourth Proportional to 728.56, 1,093.14 and 403.90

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Solution

The fourth proportional to 728.56, 1,093.14 and 403.90 is: 606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.56 : 1,093.14 = 403.90 : x
  2. Step 2: Convert to fraction form
    728.56/1,093.14 = 403.90/x
  3. Step 3: Cross multiply
    728.56x = 1,093.14 × 403.90
  4. Step 4: Simplify right side
    728.56x = 441,519.25
  5. Step 5: Solve for x
    x = 441,519.25/728.56
  6. Step 6: Final answer
    x = 606.02

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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.