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Finding the Fourth Proportional to 728.99, 1,093.67 and 318.21

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Solution

The fourth proportional to 728.99, 1,093.67 and 318.21 is: 477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.99 : 1,093.67 = 318.21 : x
  2. Step 2: Convert to fraction form
    728.99/1,093.67 = 318.21/x
  3. Step 3: Cross multiply
    728.99x = 1,093.67 × 318.21
  4. Step 4: Simplify right side
    728.99x = 348,016.73
  5. Step 5: Solve for x
    x = 348,016.73/728.99
  6. Step 6: Final answer
    x = 477.40

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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.