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Finding the Fourth Proportional to 1,306.54, 1,960.12 and 382.11

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Solution

The fourth proportional to 1,306.54, 1,960.12 and 382.11 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.54 : 1,960.12 = 382.11 : x
  2. Step 2: Convert to fraction form
    1,306.54/1,960.12 = 382.11/x
  3. Step 3: Cross multiply
    1,306.54x = 1,960.12 × 382.11
  4. Step 4: Simplify right side
    1,306.54x = 748,983.46
  5. Step 5: Solve for x
    x = 748,983.46/1,306.54
  6. Step 6: Final answer
    x = 573.26

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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.