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Finding the Fourth Proportional to 1,346.90, 2,020.74 and 481.28

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Solution

The fourth proportional to 1,346.90, 2,020.74 and 481.28 is: 722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.90 : 2,020.74 = 481.28 : x
  2. Step 2: Convert to fraction form
    1,346.90/2,020.74 = 481.28/x
  3. Step 3: Cross multiply
    1,346.90x = 2,020.74 × 481.28
  4. Step 4: Simplify right side
    1,346.90x = 972,541.75
  5. Step 5: Solve for x
    x = 972,541.75/1,346.90
  6. Step 6: Final answer
    x = 722.06

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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.