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Finding the Fourth Proportional to 1,165.91, 1,608.59 and 661.68

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Solution

The fourth proportional to 1,165.91, 1,608.59 and 661.68 is: 912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.91 : 1,608.59 = 661.68 : x
  2. Step 2: Convert to fraction form
    1,165.91/1,608.59 = 661.68/x
  3. Step 3: Cross multiply
    1,165.91x = 1,608.59 × 661.68
  4. Step 4: Simplify right side
    1,165.91x = 1,064,367.81
  5. Step 5: Solve for x
    x = 1,064,367.81/1,165.91
  6. Step 6: Final answer
    x = 912.91

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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.