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Finding the Fourth Proportional to 1,306.49, 1,960.08 and 758.15

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Solution

The fourth proportional to 1,306.49, 1,960.08 and 758.15 is: 1,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.49 : 1,960.08 = 758.15 : x
  2. Step 2: Convert to fraction form
    1,306.49/1,960.08 = 758.15/x
  3. Step 3: Cross multiply
    1,306.49x = 1,960.08 × 758.15
  4. Step 4: Simplify right side
    1,306.49x = 1,486,033.62
  5. Step 5: Solve for x
    x = 1,486,033.62/1,306.49
  6. Step 6: Final answer
    x = 1,137.42

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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.