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Finding the Fourth Proportional to 947.81, 1,419.86 and 484.22

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Solution

The fourth proportional to 947.81, 1,419.86 and 484.22 is: 725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,419.86 = 484.22 : x
  2. Step 2: Convert to fraction form
    947.81/1,419.86 = 484.22/x
  3. Step 3: Cross multiply
    947.81x = 1,419.86 × 484.22
  4. Step 4: Simplify right side
    947.81x = 687,529.37
  5. Step 5: Solve for x
    x = 687,529.37/947.81
  6. Step 6: Final answer
    x = 725.39

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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.