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Finding the Fourth Proportional to 1,289.28, 1,932.21 and 673.50

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Solution

The fourth proportional to 1,289.28, 1,932.21 and 673.50 is: 1,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.28 : 1,932.21 = 673.50 : x
  2. Step 2: Convert to fraction form
    1,289.28/1,932.21 = 673.50/x
  3. Step 3: Cross multiply
    1,289.28x = 1,932.21 × 673.50
  4. Step 4: Simplify right side
    1,289.28x = 1,301,343.44
  5. Step 5: Solve for x
    x = 1,301,343.44/1,289.28
  6. Step 6: Final answer
    x = 1,009.36

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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.