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Finding the Fourth Proportional to 1,008.56, 1,512.10 and 679.57

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Solution

The fourth proportional to 1,008.56, 1,512.10 and 679.57 is: 1,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.56 : 1,512.10 = 679.57 : x
  2. Step 2: Convert to fraction form
    1,008.56/1,512.10 = 679.57/x
  3. Step 3: Cross multiply
    1,008.56x = 1,512.10 × 679.57
  4. Step 4: Simplify right side
    1,008.56x = 1,027,574.87
  5. Step 5: Solve for x
    x = 1,027,574.87/1,008.56
  6. Step 6: Final answer
    x = 1,018.85

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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.