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Finding the Fourth Proportional to 1,164.89, 1,607.77 and 667.86

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Solution

The fourth proportional to 1,164.89, 1,607.77 and 667.86 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.89 : 1,607.77 = 667.86 : x
  2. Step 2: Convert to fraction form
    1,164.89/1,607.77 = 667.86/x
  3. Step 3: Cross multiply
    1,164.89x = 1,607.77 × 667.86
  4. Step 4: Simplify right side
    1,164.89x = 1,073,765.27
  5. Step 5: Solve for x
    x = 1,073,765.27/1,164.89
  6. Step 6: Final answer
    x = 921.78

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