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Finding the Fourth Proportional to 1,165.48, 1,606.54 and 791.81

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Solution

The fourth proportional to 1,165.48, 1,606.54 and 791.81 is: 1,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.48 : 1,606.54 = 791.81 : x
  2. Step 2: Convert to fraction form
    1,165.48/1,606.54 = 791.81/x
  3. Step 3: Cross multiply
    1,165.48x = 1,606.54 × 791.81
  4. Step 4: Simplify right side
    1,165.48x = 1,272,080.97
  5. Step 5: Solve for x
    x = 1,272,080.97/1,165.48
  6. Step 6: Final answer
    x = 1,091.46

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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.