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Finding the Fourth Proportional to 1,161.07, 1,741.61 and 392.11

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Solution

The fourth proportional to 1,161.07, 1,741.61 and 392.11 is: 588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.07 : 1,741.61 = 392.11 : x
  2. Step 2: Convert to fraction form
    1,161.07/1,741.61 = 392.11/x
  3. Step 3: Cross multiply
    1,161.07x = 1,741.61 × 392.11
  4. Step 4: Simplify right side
    1,161.07x = 682,902.70
  5. Step 5: Solve for x
    x = 682,902.70/1,161.07
  6. Step 6: Final answer
    x = 588.17

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Why These Related Problems?

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