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Finding the Fourth Proportional to 1,306.73, 1,960.34 and 382.29

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Solution

The fourth proportional to 1,306.73, 1,960.34 and 382.29 is: 573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.73 : 1,960.34 = 382.29 : x
  2. Step 2: Convert to fraction form
    1,306.73/1,960.34 = 382.29/x
  3. Step 3: Cross multiply
    1,306.73x = 1,960.34 × 382.29
  4. Step 4: Simplify right side
    1,306.73x = 749,416.47
  5. Step 5: Solve for x
    x = 749,416.47/1,306.73
  6. Step 6: Final answer
    x = 573.51

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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.