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Finding the Fourth Proportional to 1,072.87, 1,609.42 and 342.28

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Solution

The fourth proportional to 1,072.87, 1,609.42 and 342.28 is: 513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.87 : 1,609.42 = 342.28 : x
  2. Step 2: Convert to fraction form
    1,072.87/1,609.42 = 342.28/x
  3. Step 3: Cross multiply
    1,072.87x = 1,609.42 × 342.28
  4. Step 4: Simplify right side
    1,072.87x = 550,864.23
  5. Step 5: Solve for x
    x = 550,864.23/1,072.87
  6. Step 6: Final answer
    x = 513.45

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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.