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Finding the Fourth Proportional to 1,306.35, 1,959.83 and 381.88

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Solution

The fourth proportional to 1,306.35, 1,959.83 and 381.88 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.35 : 1,959.83 = 381.88 : x
  2. Step 2: Convert to fraction form
    1,306.35/1,959.83 = 381.88/x
  3. Step 3: Cross multiply
    1,306.35x = 1,959.83 × 381.88
  4. Step 4: Simplify right side
    1,306.35x = 748,419.88
  5. Step 5: Solve for x
    x = 748,419.88/1,306.35
  6. Step 6: Final answer
    x = 572.91

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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.