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Finding the Fourth Proportional to 1,306.33, 1,959.14 and 381.66

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Solution

The fourth proportional to 1,306.33, 1,959.14 and 381.66 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.33 : 1,959.14 = 381.66 : x
  2. Step 2: Convert to fraction form
    1,306.33/1,959.14 = 381.66/x
  3. Step 3: Cross multiply
    1,306.33x = 1,959.14 × 381.66
  4. Step 4: Simplify right side
    1,306.33x = 747,727.85
  5. Step 5: Solve for x
    x = 747,727.85/1,306.33
  6. Step 6: Final answer
    x = 572.39

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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.