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Finding the Fourth Proportional to 1,306.83, 1,960.71 and 614.03

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Solution

The fourth proportional to 1,306.83, 1,960.71 and 614.03 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.83 : 1,960.71 = 614.03 : x
  2. Step 2: Convert to fraction form
    1,306.83/1,960.71 = 614.03/x
  3. Step 3: Cross multiply
    1,306.83x = 1,960.71 × 614.03
  4. Step 4: Simplify right side
    1,306.83x = 1,203,933.68
  5. Step 5: Solve for x
    x = 1,203,933.68/1,306.83
  6. Step 6: Final answer
    x = 921.26

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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.