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Finding the Fourth Proportional to 1,306.13, 1,958.56 and 758.48

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Solution

The fourth proportional to 1,306.13, 1,958.56 and 758.48 is: 1,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.13 : 1,958.56 = 758.48 : x
  2. Step 2: Convert to fraction form
    1,306.13/1,958.56 = 758.48/x
  3. Step 3: Cross multiply
    1,306.13x = 1,958.56 × 758.48
  4. Step 4: Simplify right side
    1,306.13x = 1,485,528.59
  5. Step 5: Solve for x
    x = 1,485,528.59/1,306.13
  6. Step 6: Final answer
    x = 1,137.35

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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.