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Finding the Fourth Proportional to 1,008.29, 1,512.41 and 277.86

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Solution

The fourth proportional to 1,008.29, 1,512.41 and 277.86 is: 416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.29 : 1,512.41 = 277.86 : x
  2. Step 2: Convert to fraction form
    1,008.29/1,512.41 = 277.86/x
  3. Step 3: Cross multiply
    1,008.29x = 1,512.41 × 277.86
  4. Step 4: Simplify right side
    1,008.29x = 420,238.24
  5. Step 5: Solve for x
    x = 420,238.24/1,008.29
  6. Step 6: Final answer
    x = 416.78

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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.