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Finding the Fourth Proportional to 947.33, 1,419.63 and 673.97

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Solution

The fourth proportional to 947.33, 1,419.63 and 673.97 is: 1,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.33 : 1,419.63 = 673.97 : x
  2. Step 2: Convert to fraction form
    947.33/1,419.63 = 673.97/x
  3. Step 3: Cross multiply
    947.33x = 1,419.63 × 673.97
  4. Step 4: Simplify right side
    947.33x = 956,788.03
  5. Step 5: Solve for x
    x = 956,788.03/947.33
  6. Step 6: Final answer
    x = 1,009.98

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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.