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Finding the Fourth Proportional to 728.09, 1,002.67 and 506.64

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Solution

The fourth proportional to 728.09, 1,002.67 and 506.64 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.09 : 1,002.67 = 506.64 : x
  2. Step 2: Convert to fraction form
    728.09/1,002.67 = 506.64/x
  3. Step 3: Cross multiply
    728.09x = 1,002.67 × 506.64
  4. Step 4: Simplify right side
    728.09x = 507,992.73
  5. Step 5: Solve for x
    x = 507,992.73/728.09
  6. Step 6: Final answer
    x = 697.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.