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Finding the Fourth Proportional to 1,238.92, 1,858.27 and 314.48

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Solution

The fourth proportional to 1,238.92, 1,858.27 and 314.48 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.92 : 1,858.27 = 314.48 : x
  2. Step 2: Convert to fraction form
    1,238.92/1,858.27 = 314.48/x
  3. Step 3: Cross multiply
    1,238.92x = 1,858.27 × 314.48
  4. Step 4: Simplify right side
    1,238.92x = 584,388.75
  5. Step 5: Solve for x
    x = 584,388.75/1,238.92
  6. Step 6: Final answer
    x = 471.69

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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.