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Finding the Fourth Proportional to 1,306.85, 1,960.14 and 441.14

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Solution

The fourth proportional to 1,306.85, 1,960.14 and 441.14 is: 661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.85 : 1,960.14 = 441.14 : x
  2. Step 2: Convert to fraction form
    1,306.85/1,960.14 = 441.14/x
  3. Step 3: Cross multiply
    1,306.85x = 1,960.14 × 441.14
  4. Step 4: Simplify right side
    1,306.85x = 864,696.16
  5. Step 5: Solve for x
    x = 864,696.16/1,306.85
  6. Step 6: Final answer
    x = 661.66

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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.