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Finding the Fourth Proportional to 1,165.56, 1,608.33 and 661.43

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Solution

The fourth proportional to 1,165.56, 1,608.33 and 661.43 is: 912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.56 : 1,608.33 = 661.43 : x
  2. Step 2: Convert to fraction form
    1,165.56/1,608.33 = 661.43/x
  3. Step 3: Cross multiply
    1,165.56x = 1,608.33 × 661.43
  4. Step 4: Simplify right side
    1,165.56x = 1,063,789.67
  5. Step 5: Solve for x
    x = 1,063,789.67/1,165.56
  6. Step 6: Final answer
    x = 912.69

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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.