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Finding the Fourth Proportional to 1,346.44, 2,020.32 and 480.82

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Solution

The fourth proportional to 1,346.44, 2,020.32 and 480.82 is: 721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.44 : 2,020.32 = 480.82 : x
  2. Step 2: Convert to fraction form
    1,346.44/2,020.32 = 480.82/x
  3. Step 3: Cross multiply
    1,346.44x = 2,020.32 × 480.82
  4. Step 4: Simplify right side
    1,346.44x = 971,410.26
  5. Step 5: Solve for x
    x = 971,410.26/1,346.44
  6. Step 6: Final answer
    x = 721.47

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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.