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Finding the Fourth Proportional to 728.93, 1,093.41 and 266.42

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Solution

The fourth proportional to 728.93, 1,093.41 and 266.42 is: 399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.93 : 1,093.41 = 266.42 : x
  2. Step 2: Convert to fraction form
    728.93/1,093.41 = 266.42/x
  3. Step 3: Cross multiply
    728.93x = 1,093.41 × 266.42
  4. Step 4: Simplify right side
    728.93x = 291,306.29
  5. Step 5: Solve for x
    x = 291,306.29/728.93
  6. Step 6: Final answer
    x = 399.64

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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.