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Finding the Fourth Proportional to 1,252.92, 1,879.06 and 386.76

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Solution

The fourth proportional to 1,252.92, 1,879.06 and 386.76 is: 580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.92 : 1,879.06 = 386.76 : x
  2. Step 2: Convert to fraction form
    1,252.92/1,879.06 = 386.76/x
  3. Step 3: Cross multiply
    1,252.92x = 1,879.06 × 386.76
  4. Step 4: Simplify right side
    1,252.92x = 726,745.25
  5. Step 5: Solve for x
    x = 726,745.25/1,252.92
  6. Step 6: Final answer
    x = 580.04

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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.