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Finding the Fourth Proportional to 1,306.99, 1,960.49 and 333.09

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Solution

The fourth proportional to 1,306.99, 1,960.49 and 333.09 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.99 : 1,960.49 = 333.09 : x
  2. Step 2: Convert to fraction form
    1,306.99/1,960.49 = 333.09/x
  3. Step 3: Cross multiply
    1,306.99x = 1,960.49 × 333.09
  4. Step 4: Simplify right side
    1,306.99x = 653,019.61
  5. Step 5: Solve for x
    x = 653,019.61/1,306.99
  6. Step 6: Final answer
    x = 499.64

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Double scale
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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.