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Finding the Fourth Proportional to 1,306.14, 1,959.23 and 381.71

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Solution

The fourth proportional to 1,306.14, 1,959.23 and 381.71 is: 572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.14 : 1,959.23 = 381.71 : x
  2. Step 2: Convert to fraction form
    1,306.14/1,959.23 = 381.71/x
  3. Step 3: Cross multiply
    1,306.14x = 1,959.23 × 381.71
  4. Step 4: Simplify right side
    1,306.14x = 747,845.98
  5. Step 5: Solve for x
    x = 747,845.98/1,306.14
  6. Step 6: Final answer
    x = 572.56

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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.