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Finding the Fourth Proportional to 1,161.93, 1,743.09 and 392.25

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Solution

The fourth proportional to 1,161.93, 1,743.09 and 392.25 is: 588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.93 : 1,743.09 = 392.25 : x
  2. Step 2: Convert to fraction form
    1,161.93/1,743.09 = 392.25/x
  3. Step 3: Cross multiply
    1,161.93x = 1,743.09 × 392.25
  4. Step 4: Simplify right side
    1,161.93x = 683,727.05
  5. Step 5: Solve for x
    x = 683,727.05/1,161.93
  6. Step 6: Final answer
    x = 588.44

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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.