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Finding the Fourth Proportional to 728.96, 1,093.54 and 266.70

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Solution

The fourth proportional to 728.96, 1,093.54 and 266.70 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,093.54 = 266.70 : x
  2. Step 2: Convert to fraction form
    728.96/1,093.54 = 266.70/x
  3. Step 3: Cross multiply
    728.96x = 1,093.54 × 266.70
  4. Step 4: Simplify right side
    728.96x = 291,647.12
  5. Step 5: Solve for x
    x = 291,647.12/728.96
  6. Step 6: Final answer
    x = 400.09

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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.