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Finding the Fourth Proportional to 1,362.78, 2,042.82 and 631.44

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Solution

The fourth proportional to 1,362.78, 2,042.82 and 631.44 is: 946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.78 : 2,042.82 = 631.44 : x
  2. Step 2: Convert to fraction form
    1,362.78/2,042.82 = 631.44/x
  3. Step 3: Cross multiply
    1,362.78x = 2,042.82 × 631.44
  4. Step 4: Simplify right side
    1,362.78x = 1,289,918.26
  5. Step 5: Solve for x
    x = 1,289,918.26/1,362.78
  6. Step 6: Final answer
    x = 946.53

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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.