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Finding the Fourth Proportional to 1,306.22, 1,959.66 and 381.76

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Solution

The fourth proportional to 1,306.22, 1,959.66 and 381.76 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.22 : 1,959.66 = 381.76 : x
  2. Step 2: Convert to fraction form
    1,306.22/1,959.66 = 381.76/x
  3. Step 3: Cross multiply
    1,306.22x = 1,959.66 × 381.76
  4. Step 4: Simplify right side
    1,306.22x = 748,119.80
  5. Step 5: Solve for x
    x = 748,119.80/1,306.22
  6. Step 6: Final answer
    x = 572.74

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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.