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Finding the Fourth Proportional to 1,072.71, 1,609.29 and 414.59

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Solution

The fourth proportional to 1,072.71, 1,609.29 and 414.59 is: 621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.71 : 1,609.29 = 414.59 : x
  2. Step 2: Convert to fraction form
    1,072.71/1,609.29 = 414.59/x
  3. Step 3: Cross multiply
    1,072.71x = 1,609.29 × 414.59
  4. Step 4: Simplify right side
    1,072.71x = 667,187.49
  5. Step 5: Solve for x
    x = 667,187.49/1,072.71
  6. Step 6: Final answer
    x = 621.96

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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.