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Finding the Fourth Proportional to 1,306.41, 1,959.69 and 382.05

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Solution

The fourth proportional to 1,306.41, 1,959.69 and 382.05 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.41 : 1,959.69 = 382.05 : x
  2. Step 2: Convert to fraction form
    1,306.41/1,959.69 = 382.05/x
  3. Step 3: Cross multiply
    1,306.41x = 1,959.69 × 382.05
  4. Step 4: Simplify right side
    1,306.41x = 748,699.56
  5. Step 5: Solve for x
    x = 748,699.56/1,306.41
  6. Step 6: Final answer
    x = 573.10

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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.