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Finding the Fourth Proportional to 1,306.84, 1,960.24 and 441.76

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Solution

The fourth proportional to 1,306.84, 1,960.24 and 441.76 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.84 : 1,960.24 = 441.76 : x
  2. Step 2: Convert to fraction form
    1,306.84/1,960.24 = 441.76/x
  3. Step 3: Cross multiply
    1,306.84x = 1,960.24 × 441.76
  4. Step 4: Simplify right side
    1,306.84x = 865,955.62
  5. Step 5: Solve for x
    x = 865,955.62/1,306.84
  6. Step 6: Final answer
    x = 662.63

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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.