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Finding the Fourth Proportional to 1,311.93, 1,967.73 and 387.59

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Solution

The fourth proportional to 1,311.93, 1,967.73 and 387.59 is: 581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.93 : 1,967.73 = 387.59 : x
  2. Step 2: Convert to fraction form
    1,311.93/1,967.73 = 387.59/x
  3. Step 3: Cross multiply
    1,311.93x = 1,967.73 × 387.59
  4. Step 4: Simplify right side
    1,311.93x = 762,660.69
  5. Step 5: Solve for x
    x = 762,660.69/1,311.93
  6. Step 6: Final answer
    x = 581.33

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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.