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Finding the Fourth Proportional to 1,161.57, 1,742.36 and 392.61

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Solution

The fourth proportional to 1,161.57, 1,742.36 and 392.61 is: 588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.57 : 1,742.36 = 392.61 : x
  2. Step 2: Convert to fraction form
    1,161.57/1,742.36 = 392.61/x
  3. Step 3: Cross multiply
    1,161.57x = 1,742.36 × 392.61
  4. Step 4: Simplify right side
    1,161.57x = 684,067.96
  5. Step 5: Solve for x
    x = 684,067.96/1,161.57
  6. Step 6: Final answer
    x = 588.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.