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Finding the Fourth Proportional to 1,072.66, 1,609.80 and 423.04

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Solution

The fourth proportional to 1,072.66, 1,609.80 and 423.04 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.66 : 1,609.80 = 423.04 : x
  2. Step 2: Convert to fraction form
    1,072.66/1,609.80 = 423.04/x
  3. Step 3: Cross multiply
    1,072.66x = 1,609.80 × 423.04
  4. Step 4: Simplify right side
    1,072.66x = 681,009.79
  5. Step 5: Solve for x
    x = 681,009.79/1,072.66
  6. Step 6: Final answer
    x = 634.88

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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.