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Finding the Fourth Proportional to 1,289.82, 1,934.48 and 412.43

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Solution

The fourth proportional to 1,289.82, 1,934.48 and 412.43 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.82 : 1,934.48 = 412.43 : x
  2. Step 2: Convert to fraction form
    1,289.82/1,934.48 = 412.43/x
  3. Step 3: Cross multiply
    1,289.82x = 1,934.48 × 412.43
  4. Step 4: Simplify right side
    1,289.82x = 797,828.95
  5. Step 5: Solve for x
    x = 797,828.95/1,289.82
  6. Step 6: Final answer
    x = 618.56

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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.