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Finding the Fourth Proportional to 1,165.81, 1,608.79 and 641.85

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Solution

The fourth proportional to 1,165.81, 1,608.79 and 641.85 is: 885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.81 : 1,608.79 = 641.85 : x
  2. Step 2: Convert to fraction form
    1,165.81/1,608.79 = 641.85/x
  3. Step 3: Cross multiply
    1,165.81x = 1,608.79 × 641.85
  4. Step 4: Simplify right side
    1,165.81x = 1,032,601.86
  5. Step 5: Solve for x
    x = 1,032,601.86/1,165.81
  6. Step 6: Final answer
    x = 885.74

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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.