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Finding the Fourth Proportional to 1,289.84, 1,933.92 and 673.68

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Solution

The fourth proportional to 1,289.84, 1,933.92 and 673.68 is: 1,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.84 : 1,933.92 = 673.68 : x
  2. Step 2: Convert to fraction form
    1,289.84/1,933.92 = 673.68/x
  3. Step 3: Cross multiply
    1,289.84x = 1,933.92 × 673.68
  4. Step 4: Simplify right side
    1,289.84x = 1,302,843.23
  5. Step 5: Solve for x
    x = 1,302,843.23/1,289.84
  6. Step 6: Final answer
    x = 1,010.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.