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Finding the Fourth Proportional to 1,279.20, 1,915.52 and 628.32

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Solution

The fourth proportional to 1,279.20, 1,915.52 and 628.32 is: 940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.20 : 1,915.52 = 628.32 : x
  2. Step 2: Convert to fraction form
    1,279.20/1,915.52 = 628.32/x
  3. Step 3: Cross multiply
    1,279.20x = 1,915.52 × 628.32
  4. Step 4: Simplify right side
    1,279.20x = 1,203,559.53
  5. Step 5: Solve for x
    x = 1,203,559.53/1,279.20
  6. Step 6: Final answer
    x = 940.87

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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.