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Finding the Fourth Proportional to 947.28, 1,419.61 and 484.08

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Solution

The fourth proportional to 947.28, 1,419.61 and 484.08 is: 725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,419.61 = 484.08 : x
  2. Step 2: Convert to fraction form
    947.28/1,419.61 = 484.08/x
  3. Step 3: Cross multiply
    947.28x = 1,419.61 × 484.08
  4. Step 4: Simplify right side
    947.28x = 687,204.81
  5. Step 5: Solve for x
    x = 687,204.81/947.28
  6. Step 6: Final answer
    x = 725.45

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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.