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Finding the Fourth Proportional to 1,238.04, 1,856.92 and 313.56

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Solution

The fourth proportional to 1,238.04, 1,856.92 and 313.56 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.04 : 1,856.92 = 313.56 : x
  2. Step 2: Convert to fraction form
    1,238.04/1,856.92 = 313.56/x
  3. Step 3: Cross multiply
    1,238.04x = 1,856.92 × 313.56
  4. Step 4: Simplify right side
    1,238.04x = 582,255.84
  5. Step 5: Solve for x
    x = 582,255.84/1,238.04
  6. Step 6: Final answer
    x = 470.30

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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.