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Finding the Fourth Proportional to 1,072.91, 1,609.36 and 303.41

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Solution

The fourth proportional to 1,072.91, 1,609.36 and 303.41 is: 455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.91 : 1,609.36 = 303.41 : x
  2. Step 2: Convert to fraction form
    1,072.91/1,609.36 = 303.41/x
  3. Step 3: Cross multiply
    1,072.91x = 1,609.36 × 303.41
  4. Step 4: Simplify right side
    1,072.91x = 488,295.92
  5. Step 5: Solve for x
    x = 488,295.92/1,072.91
  6. Step 6: Final answer
    x = 455.11

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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.