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Finding the Fourth Proportional to 1,382.34, 2,074.44 and 516.66

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Solution

The fourth proportional to 1,382.34, 2,074.44 and 516.66 is: 775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.34 : 2,074.44 = 516.66 : x
  2. Step 2: Convert to fraction form
    1,382.34/2,074.44 = 516.66/x
  3. Step 3: Cross multiply
    1,382.34x = 2,074.44 × 516.66
  4. Step 4: Simplify right side
    1,382.34x = 1,071,780.17
  5. Step 5: Solve for x
    x = 1,071,780.17/1,382.34
  6. Step 6: Final answer
    x = 775.34

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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.