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Finding the Fourth Proportional to 1,238.12, 1,857.17 and 313.68

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Solution

The fourth proportional to 1,238.12, 1,857.17 and 313.68 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.12 : 1,857.17 = 313.68 : x
  2. Step 2: Convert to fraction form
    1,238.12/1,857.17 = 313.68/x
  3. Step 3: Cross multiply
    1,238.12x = 1,857.17 × 313.68
  4. Step 4: Simplify right side
    1,238.12x = 582,550.89
  5. Step 5: Solve for x
    x = 582,550.89/1,238.12
  6. Step 6: Final answer
    x = 470.51

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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.