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Finding the Fourth Proportional to 728.86, 1,010.82 and 667.35

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Solution

The fourth proportional to 728.86, 1,010.82 and 667.35 is: 925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.86 : 1,010.82 = 667.35 : x
  2. Step 2: Convert to fraction form
    728.86/1,010.82 = 667.35/x
  3. Step 3: Cross multiply
    728.86x = 1,010.82 × 667.35
  4. Step 4: Simplify right side
    728.86x = 674,570.73
  5. Step 5: Solve for x
    x = 674,570.73/728.86
  6. Step 6: Final answer
    x = 925.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.