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Finding the Fourth Proportional to 1,512.61, 2,269.59 and 679.84

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Solution

The fourth proportional to 1,512.61, 2,269.59 and 679.84 is: 1,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.61 : 2,269.59 = 679.84 : x
  2. Step 2: Convert to fraction form
    1,512.61/2,269.59 = 679.84/x
  3. Step 3: Cross multiply
    1,512.61x = 2,269.59 × 679.84
  4. Step 4: Simplify right side
    1,512.61x = 1,542,958.07
  5. Step 5: Solve for x
    x = 1,542,958.07/1,512.61
  6. Step 6: Final answer
    x = 1,020.06

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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.