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Finding the Fourth Proportional to 1,072.76, 1,609.22 and 342.41

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Solution

The fourth proportional to 1,072.76, 1,609.22 and 342.41 is: 513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.76 : 1,609.22 = 342.41 : x
  2. Step 2: Convert to fraction form
    1,072.76/1,609.22 = 342.41/x
  3. Step 3: Cross multiply
    1,072.76x = 1,609.22 × 342.41
  4. Step 4: Simplify right side
    1,072.76x = 551,017.90
  5. Step 5: Solve for x
    x = 551,017.90/1,072.76
  6. Step 6: Final answer
    x = 513.64

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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.