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Finding the Fourth Proportional to 1,238.09, 1,857.15 and 313.65

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Solution

The fourth proportional to 1,238.09, 1,857.15 and 313.65 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.09 : 1,857.15 = 313.65 : x
  2. Step 2: Convert to fraction form
    1,238.09/1,857.15 = 313.65/x
  3. Step 3: Cross multiply
    1,238.09x = 1,857.15 × 313.65
  4. Step 4: Simplify right side
    1,238.09x = 582,495.10
  5. Step 5: Solve for x
    x = 582,495.10/1,238.09
  6. Step 6: Final answer
    x = 470.48

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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.