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Finding the Fourth Proportional to 1,306.67, 1,960.38 and 382.23

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Solution

The fourth proportional to 1,306.67, 1,960.38 and 382.23 is: 573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.67 : 1,960.38 = 382.23 : x
  2. Step 2: Convert to fraction form
    1,306.67/1,960.38 = 382.23/x
  3. Step 3: Cross multiply
    1,306.67x = 1,960.38 × 382.23
  4. Step 4: Simplify right side
    1,306.67x = 749,316.05
  5. Step 5: Solve for x
    x = 749,316.05/1,306.67
  6. Step 6: Final answer
    x = 573.46

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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.